calculating sun angles
DESCRIPTION
Calculating Sun Angles. Today you will calculate the angle of the sun at NOON (12:00) for different locations on Earth. Calculating Sun Angles. You will be working with complementary angles. Remember, complementary angles always add up to 90 o. Calculating Sun Angles. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/1.jpg)
Calculating Sun Angles
Today you will calculate the
angle of the sun at NOON (12:00)
for different locations on Earth.
![Page 2: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/2.jpg)
Calculating Sun Angles
You will be working with
complementary angles.
Remember, complementary angles
always add up to 90o.
![Page 3: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/3.jpg)
Calculating Sun Angles
• High sun angles (45o to 90o) mean more intense sunlight.
![Page 4: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/4.jpg)
Calculating Sun Angles
• High sun angles (45o to 90o) mean more intense sunlight.
80o
![Page 5: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/5.jpg)
Calculating Sun Angles
• High sun angles (45o to 90o) mean more intense sunlight.
• Low sun angles (0o to 45o) mean less intense sunlight.
80o
![Page 6: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/6.jpg)
Calculating Sun Angles
• High sun angles (45o to 90o) mean more intense sunlight.
• Low sun angles (0o to 45o) mean less intense sunlight.
30o
80o
![Page 7: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/7.jpg)
Latitude of 90o Sun Angle Changes
Over the year, the latitude where
the sun’s rays form a 90o angle, at noon,
with the surface, moves slowly between the
Tropic of Cancer and
the Tropic of Capricorn.
![Page 8: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/8.jpg)
Equinox
On March 22 and on September 22, the sun’s rays form a 90o angle at noon at the equator.
Path of incoming sun’s rays
0o latitude
![Page 9: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/9.jpg)
Equinox
On March 22 and on September 22, the sun’s rays form a 90o angle at noon at the equator.
Vertical Pole standing at the equator will not cast a shadow at noon!
Path of incoming sun’s rays
0o latitude
![Page 10: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/10.jpg)
Equinox
At an Equinox, for every degree of latitude you move away from the equator, the sun angle at noon decreases by 1 degree.
![Page 11: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/11.jpg)
Equinox
At an Equinox, for every degree of latitude you move away from the equator, the sun angle at noon decreases by 1 degree.
1o latitude
![Page 12: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/12.jpg)
Equinox
At an Equinox, for every degree of latitude you move away from the equator, the sun angle at noon decreases by 1 degree.
1o latitude
89o
![Page 13: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/13.jpg)
Equinox
At an Equinox, for every degree of latitude you move away from the equator, the sun angle at noon decreases by 1 degree.
1o latitude
89o
2o latitude
![Page 14: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/14.jpg)
Equinox
At an Equinox, for every degree of latitude you move away from the equator, the sun angle at noon decreases by 1 degree.
2o latitude
88o
1o latitude
89o
![Page 15: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/15.jpg)
Solstices
![Page 16: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/16.jpg)
Solstices
June 22
![Page 17: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/17.jpg)
Solstices
June 22– The sun forms a 90o angle at noon at 23.5o N
![Page 18: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/18.jpg)
Solstices
June 22– The sun forms a 90o angle at noon at 23.5o N– This latitude is called the Tropic of Cancer.
![Page 19: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/19.jpg)
Solstices
June 22– The sun forms a 90o angle at noon at 23.5o N– This latitude is called the Tropic of Cancer.– This is the summer solstice for the Northern
Hemisphere.
![Page 20: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/20.jpg)
Solstices
June 22– The sun forms a 90o angle at noon at 23.5o N– This latitude is called the Tropic of Cancer.– This is the summer solstice for the Northern
Hemisphere.– This is the winter solstice for the Southern
Hemisphere.
![Page 21: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/21.jpg)
Solstices
December 22
![Page 22: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/22.jpg)
Solstices
December 22 – The sun forms a 90o angle at noon at 23.5o S
![Page 23: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/23.jpg)
Solstices
December 22 – The sun forms a 90o angle at noon at 23.5o S– This latitude is called the Tropic of Capricorn
![Page 24: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/24.jpg)
Solstices
December 22 – The sun forms a 90o angle at noon at 23.5o S– This latitude is called the Tropic of Capricorn– This is winter solstice for the Northern
Hemisphere.
![Page 25: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/25.jpg)
Solstices
December 22 – The sun forms a 90o angle at noon at 23.5o S– This latitude is called the Tropic of Capricorn– This is winter solstice for the Northern
Hemisphere.– This is the summer solstice for the Southern
Hemisphere.
![Page 26: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/26.jpg)
Solstices
On the summer solstice the sun’s rays form a 90o angle at noon at 23.5o N
Vertical Pole standing at 23.5o will not cast a shadow at noon!
Path of incoming sun’s rays
23.5o N
![Page 27: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/27.jpg)
Solstices
On the summer solstice, for every degree of latitude you move away from 23.5o, the sun angle at noon decreases by 1 degree.
24.5o N (23.5 +1)
![Page 28: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/28.jpg)
Solstices
On the summer solstice, for every degree of latitude you move away from 23.5o, the sun angle at noon decreases by 1 degree.
89o
24.5o N (23.5 +1)
![Page 29: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/29.jpg)
Solstices
On the summer solstice, for every degree of latitude you move away from 23.5o, the sun angle at noon decreases by 1 degree.
89o
24.5o N (23.5 +1) 25.5o N (23.5 +2)
![Page 30: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/30.jpg)
Solstices
On the summer solstice, for every degree of latitude you move away from 23.5o, the sun angle at noon decreases by 1 degree.
88o
25.5o N (23.5 +2)
89o
24.5o N (23.5 +1)
![Page 31: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/31.jpg)
Noon Sun Angle Equation
![Page 32: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/32.jpg)
Noon Sun Angle Equation
• You are about to find the angle of the sun at noon at different latitudes.
![Page 33: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/33.jpg)
Noon Sun Angle Equation
• You are about to find the angle of the sun at noon at different latitudes.
– To do this, you will use the following formula:
![Page 34: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/34.jpg)
Noon Sun Angle Equation
• You are about to find the angle of the sun at noon at different latitudes.
– To do this, you will use the following formula:
Noon Sun Angle = 90 - Zenith Angle
![Page 35: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/35.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
![Page 36: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/36.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
You need to subtract from 90 because
the angles you are working with are complementary.
![Page 37: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/37.jpg)
Noon Sun Angle Equation
Sun Angle = 90 - Zenith Angle
![Page 38: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/38.jpg)
Noon Sun Angle Equation
Sun Angle = 90 - Zenith Angle• The zenith angle is the distance between the
subsolar point and the latitude you are “at”.
![Page 39: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/39.jpg)
Noon Sun Angle Equation
Sun Angle = 90 - Zenith Angle• The zenith angle is the distance between the
subsolar point and the latitude you are “at”.• The subsolar point is the latitude where the sun’s
rays form a 90o angle at noon.
![Page 40: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/40.jpg)
Noon Sun Angle Equation
Sun Angle = 90 - Zenith Angle• The zenith angle is the distance between the
subsolar point and the latitude you are “at”.• The subsolar point is the latitude where the sun’s
rays form a 90o angle at noon.
In other words: Noon Sun Angle =90 - (latitude your are at ± latitude where sun is 90o at noon)
![Page 41: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/41.jpg)
Noon Sun Angle Equation
• To calculate the zenith angle between the subsolar point and the latitude you are “at” requires a bit of thought….
![Page 42: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/42.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in the same hemisphere, subtract.
![Page 43: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/43.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in the same hemisphere, subtract.
– Example: Subsolar Point = 0o
![Page 44: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/44.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in the same hemisphere, subtract.
– Example: Subsolar Point = 0o
• You are at 45oN.
![Page 45: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/45.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in the same hemisphere, subtract.
– Example: Subsolar Point = 0o
• You are at 45oN.• Zenith Angle = (45 - 0) =
![Page 46: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/46.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in the same hemisphere, subtract.
– Example: Subsolar Point = 0o
• You are at 45oN.• Zenith Angle = (45 - 0) = 45
![Page 47: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/47.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in different hemispheres, add.
![Page 48: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/48.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in different hemispheres, add.– Example: Subsolar Point = 23.5o S
![Page 49: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/49.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in different hemispheres, add.– Example: Subsolar Point = 23.5o S
• You are at 45oN.
![Page 50: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/50.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in different hemispheres, add.– Example: Subsolar Point = 23.5o S
• You are at 45oN.• Zenith Angle = (45 + 23.5) =
![Page 51: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/51.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in different hemispheres, add.– Example: Subsolar Point = 23.5o S
• You are at 45oN.• Zenith Angle = (45 + 23.5) = 68.5
![Page 52: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/52.jpg)
Noon Sun Angle Equation
• If the subsolar point and your latitude are in the same hemisphere, subtract.
• If the subsolar point and your latitude are in different hemispheres, add.
![Page 53: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/53.jpg)
Noon Sun Angle Equation
• Let’s do some problems together!
![Page 54: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/54.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).
![Page 55: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/55.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).The subsolar point is 23.5o N
![Page 56: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/56.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).The subsolar point is 23.5o NYou are visiting a friend in Brussels,
Belgium
![Page 57: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/57.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).The subsolar point is 23.5o NYou are visiting a friend in Brussels,
Belgium
![Page 58: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/58.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).The subsolar point is 23.5o NYou are visiting a friend in Brussels,
Belgium
![Page 59: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/59.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).The subsolar point is 23.5o NYou are visiting a friend in Brussels,
BelgiumYour latitude is 50o N
![Page 60: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/60.jpg)
Noon Sun Angle Equation
It is the June 22nd solstice (summer).The subsolar point is 23.5o NYou are visiting a friend in Brussels,
BelgiumYour latitude is 50o N
What is the angle of the sun at noon?
![Page 61: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/61.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
![Page 62: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/62.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
![Page 63: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/63.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
50 - 23.5 =
![Page 64: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/64.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
50 - 23.5 = 26.5
![Page 65: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/65.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
50 - 23.5 = 26.5
Noon Sun Angle = 90 - 26.5 =
![Page 66: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/66.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
50 - 23.5 = 26.5
Noon Sun Angle = 90 - 26.5 = 63.5o
![Page 67: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/67.jpg)
Noon Sun Angle Equation
A noon sun angle of 63.5o is considered a high angle.
This answer makes sense because it is summer time where you are.
![Page 68: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/68.jpg)
Noon Sun Angle Equation
Good Job!!!
Let’s try another one!
![Page 69: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/69.jpg)
Noon Sun Angle Equation
It is the March 22nd.
![Page 70: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/70.jpg)
Noon Sun Angle Equation
It is the March 22nd.It is the Spring Equinox.
![Page 71: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/71.jpg)
Noon Sun Angle Equation
It is the March 22nd.It is the Spring Equinox.The subsolar point is 0o
![Page 72: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/72.jpg)
Noon Sun Angle Equation
It is the March 22nd.It is the Spring Equinox.The subsolar point is 0o
You are going to go skiing in New Zealand.
![Page 73: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/73.jpg)
Noon Sun Angle Equation
It is the March 22nd.It is the Spring Equinox.The subsolar point is 0o
You are going to go skiing in New Zealand.
![Page 74: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/74.jpg)
Noon Sun Angle Equation
It is the March 22nd.It is the Spring Equinox.The subsolar point is 0o
You are going to go skiing in New Zealand.Your latitude is 43o S
![Page 75: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/75.jpg)
Noon Sun Angle Equation
It is the March 22nd.It is the Spring Equinox.The subsolar point is 0o
You are going to go skiing in New Zealand.Your latitude is 43o SWhat is the angle of the sun at noon?
![Page 76: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/76.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
![Page 77: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/77.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
![Page 78: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/78.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
43 - 0 =
![Page 79: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/79.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
43 - 0 = 43
![Page 80: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/80.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Zenith Angle
Zenith Angle: Subsolar point & your location are in the same hemisphere, subtract!
43 - 0 = 43
Noon Sun Angle = 90 - 43 =
![Page 81: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/81.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
Arc Distance: Subsolar point & your location are in the same hemisphere, subtract!
43 - 0 = 43
Noon Sun Angle = 90 - 43 = 47o
![Page 82: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/82.jpg)
Noon Sun Angle Equation
A noon sun angle of is 47o a moderate angle.
This answer makes sense because it is spring time where you are.
The snow may be melting, but you can probably still get in a few runs!
![Page 83: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/83.jpg)
Noon Sun Angle Equation
Excellent work!
Let’s try one last problem together.
![Page 84: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/84.jpg)
Noon Sun Angle Equation
It is the December 22nd.
![Page 85: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/85.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.
![Page 86: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/86.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.The subsolar point is 23.5o S
![Page 87: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/87.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.The subsolar point is 23.5o S
You just won a trip to Oulu, Finland
![Page 88: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/88.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.The subsolar point is 23.5o S
You just won a trip to Oulu, Finland
![Page 89: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/89.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.The subsolar point is 23.5o S
You just won a trip to Oulu, Finland
![Page 90: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/90.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.The subsolar point is 23.5o S
You just won a trip to Oulu, FinlandYour latitude is 64o N
![Page 91: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/91.jpg)
Noon Sun Angle Equation
It is the December 22nd.It is the Winter Solstice.The subsolar point is 23.5o S
You just won a trip to Oulu, FinlandYour latitude is 64o NWhat is the angle of the sun at noon?
![Page 92: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/92.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
![Page 93: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/93.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
Arc Distance: Subsolar point & your location are in different hemispheres, add!
![Page 94: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/94.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
Arc Distance: Subsolar point & your location are in different hemispheres, add!
64 + 23.5 =
![Page 95: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/95.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
Arc Distance: Subsolar point & your location are in different hemispheres, add!
64 + 23.5 = 87.5
![Page 96: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/96.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
Arc Distance: Subsolar point & your location are in different hemispheres, add!
64 + 23.5 = 87.5
Noon Sun Angle = 90 - 87.5 =
![Page 97: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/97.jpg)
Noon Sun Angle Equation
Noon Sun Angle = 90 - Arc Distance
Arc Distance: Subsolar point & your location are in different hemispheres, add!
64 + 23.5 = 87.5
Noon Sun Angle = 90 - 87.5 = 2.5o
![Page 98: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/98.jpg)
Noon Sun Angle Equation
A noon sun angle of is 2.5o a VERY low angle.
This answer makes sense because it is wintertime where you are.
You will need to take a lot of warm clothes for this trip!
![Page 99: Calculating Sun Angles](https://reader035.vdocuments.site/reader035/viewer/2022081418/56813b44550346895da41ffd/html5/thumbnails/99.jpg)
Noon Sun Angle Equation
Congratulations!
You get to try some of these problems on your own. All the hints you’ve been shown
are on your worksheet!
Good Luck