Question

The horizontal distance between two towers is 70m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 120m, find the height of the first tower.

Answer 1

As shown in the image, we have a 30 degree angle and x, which is what we want. By doing tan30, we can find x, so tan30=x/70 and 70*tan30=x= 70*sqrt(3)/3. 120-x=height of first tower = 120-(70*sqrt(3)/3) = roughly 79.59