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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?

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

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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