# Math 11

From a window in a building 20 m above ground the angle of depression of the top of a statue across the street is 30 degrees, and the angle of depression of the base of the statue is 34. How tall is the statue?

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1. I hope you made a diagram.

label the window position P
label the top of the statue T
label the bottom of the statue B
So we want TB

I can find BP
sin34° = 20/BP
BP = 20/sin34

let's use the sine law in triangle TBP
TB/sin4 = BP/sin120
TB = BPsin4/sin120
= (20/sin34)(sin4/sin120)
= appr 2.88 m

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posted by Reiny

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