Point A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of hill are 32° and 22° respectively. If the distance between A and B is 80 meters, what is the height of the hill?

Answer 1

Tan32=h/x
Tan22=h/(x+80)

(Tan32)(x)=(tan22)(x+80)
Solve for x and then for h