Question

If the angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower in the same straight line with it are complementary, find the height of the tower.

Answer 1

Let be the height of tower is meters.

Given that: angle of elevation are and and also m and m.

Here we have to find height of tower.

So we use trigonometric ratios.

In a triangle,

Again in a triangle ,

Put

Hence height of tower is meters.