angles all about sides special triangles trig ratios solving triangles 10 20 30 40 50
TRANSCRIPT
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Angles All about Sides
Special Triangles Trig Ratios Solving
Triangles
10 10 10 10 10
20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
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Question 1 - 10
Find Cos(42o)
(round to the nearest four places)
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Answer 1 – 10
• .7431
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Question 1 - 20
Find angle ACos(A)=1/2
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Answer 1 – 20
60 degrees
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Question 1 - 30
Find angle ATan(A)=1
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Answer 1 – 30
45 degrees
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Question 1 - 40
Solve for XX
815
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Answer 1 – 40
58 degrees
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Question 1 - 50
Solve for X
X
55
89
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Answer 1 – 50
38 degrees
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Question 2 - 10
• Tell whether the number represent and acute obtuse, right or no triangle
2, 20, 22
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Answer 2 – 10
No triangle 2+20=22
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Question 2 - 20
• Tell whether the number represent and acute obtuse, right or no triangle
4, 11, 13
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Answer 2 – 20
Obtuse
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Question 2 - 30
• Solve for X• (round to 2 decimal places)
510
8
X
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Answer 2 – 30
Cos(51)=8/x8/Cos(51)= x
X=12.71
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Question 2 - 40
700
8
X
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Answer 2 – 40
•X = 21.98
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Question 2 - 50
Solve for x and Y
630
8
X
Y0
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Answer 2 – 50
•X=7.13• Y= 27 degrees
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Question 3 - 10
• Solve for X
450
8X
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Answer 3 – 10
X = 8√2
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Question 3 - 20• Solve for X
300
5
X
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Answer 3 – 20
X = 10
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Question 3 - 30
• Solve for X and Y300
X
Y6
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Answer 3 – 30
X = 2√3Y = 4√3
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Question 3 - 40
• Name the rules in a 45-45-90 when going from a leg to HYP and HYP to leg
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Answer 3 – 40
• Leg HYP = Leg * √2• HYP Leg = HYP / √2
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Question 3 - 50
• Name the Rules in a 30-60-90 when going from the Short Leg to the Long Leg and the HYP and also Back
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Answer 3 – 50
SL HYP = SL * 2HYP SL = HYP / 2
SL LL = SL * √3LL SL = LL / √3
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Question 4 - 10
• Find the Tangent ratio of the angle
8
157
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Answer 4 – 10
• Tan = 8/7
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Question 4 - 20
• Find the Cosine and Sine ratios of the angle
8
157
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Answer 4 – 20
Cos = 7/15Sin = 8/15
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Question 4 - 30
•Define all Trig Ratios
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Answer 4 – 30
•Sine = Opposite/Hyp•Cosine=Adjacent/Hyp•Tangent=Opposite/Hyp
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Question 4 - 40
• Solve• Lauren want to measure the height of a
building. She stands 150ft from the base of the building. She measure the angle of elevation from a point on the ground to the top of the building to be 500. Estimate the height of the building.
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Answer 4 – 40
Height = 178.76ft
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Question 4 - 50
A
7
18
• Find all three trig ratios of angle A
10
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Answer 4 – 50
• Sin(A)= 7/18• Cos(A)= 10/18 = 5/9• Tan(A)= 7/10
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Question 5 - 10
• The perimeter of a square is 24in. Find the length of the diagonal.
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Answer 5 – 10
•6√2in
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Question 5 - 20
• Solve for the missing angle (round to the nearst degree)
A
125
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Answer 5 – 20
• Angle A = 22.6 degrees
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Question 5 - 30
13
Y
• Solve the triangle
X
Y
10
Z
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Answer 5 – 30
• Z= 13• X= 67.38 degrees• Y=45.24 degrees
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Question 5 - 40
• Solve for all parts of the triangle
A
155
B
X
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Answer 5 – 40
• A= 70.53 degrees • B= 19.47 degrees • X=10√2
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Question 5 - 50
• Solve for all parts of the triangle. Round decimals to the nearest tenth.
15Y
250
X
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Answer 5 – 50
X =13.59Y = 6.34