Math 11
posted by Dylan on .
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?

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