geo (h) 8.3 special right triangles.notebook...geo (h) 8.3 special right triangles.notebook 30o 60o...

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Geo (H) 8.3 Special Right Triangles.notebook 30 o 60 o 30 o ‐60 o ‐90 o Triangles a) 6 x y 60 o b) x y 30 o 11 8.3 Special Right Triangles Objecves: 1. You will be able to use the properes of 45‐45‐90 and 30‐60‐90 triangles. 30 o 12 yd x y c) d) A shadow cast by a tree is 36 feet long when the sun is at an elevaon of 30 degrees. How tall is the tree?

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Page 1: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

30o

60o

30o‐60o‐90o Triangles

a)

6

x

y

60o

b)

x

y30o

11

8.3 Special Right TrianglesObjecves:1.  You will be able to use the properes of 45‐45‐90 and 30‐60‐90 triangles.

30o

12 yd

x

y

c) d)  A shadow cast by a tree is 36 feet long when      the sun is at an elevaon of 30 degrees.       How tall is the tree?

Page 2: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

45o‐45o‐90o Triangles

8

8x

a)b) 24√2

x

c) 3645o xy

Page 3: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

d)   The distance between any pair of consecuve bases on a soball field        is 60 feet.  How far would a catcher have to throw a soball to throw        out a runner who is aempng to steal second base? Find the exact        answer and the approximate answer rounded to the nearest tenth of        a foot.

Page 4: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Pracce :8.3 p.562

 #1‐6, 8‐13, 18‐23, 28‐33,37,38,40‐43

Page 5: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 6: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 7: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 8: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 9: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 10: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 11: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 12: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook

Page 13: Geo (H) 8.3 Special Right Triangles.notebook...Geo (H) 8.3 Special Right Triangles.notebook 30o 60o 30o‐60o‐90o Triangles a) 6 x y 60o b) x y 30 o 11 8.3 Special Right Triangles

Geo (H) 8.3 Special Right Triangles.notebook