From a window of a building A, the angle of elevation of the top of building B is 35 degrees and the angle of depression of the bottom of building B is 20 degrees. If the buildings are 25m. horizontally apart, Compute for height of the window from the ground? And compute for height of Building B?

Question

From a window of a building A, the angle of elevation of the top of  building B is 35 degrees and the angle of depression of the bottom of building B is 20 degrees. If the buildings are 25m. horizontally apart, Compute for height of the window from the ground? And compute for height of Building B?

drwls · Answer

Let H be the window height, and X = 25 X = 25 m be the separation of buildings.

L tan20 = H
H = 9.10 m

Building B height = H + L tan 35
= 9.10 + 17.51 = 26.61 m

Draw yourself a figure and these relationships sould be obvious to you.