from a window 25meters above a street,the angle of elevation of the top of a wall on the opposie side is 15'.If the angle of depression of the base of the wall from the window is 35',find:

Question

from a window 25meters above a street,the angle of elevation of the top of a wall on the opposie side is 15'.If the angle of depression of the base of the wall from the window is 35',find:
(i)the width of the street.
(ii)the hieght of the wall on the opposite side.

mathhelper · Accepted Answer

I sketched a diagram following your description to get
tan 35° = 25/(width of street)
width of street = 25/tan35 = 35.7 m

tan 15° = (top part of wall)/35.7
top part of wall = 35.7tan15 = 9.57

height of whole wall = 25 + 9.57 = 35.57 m