Question

From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. Find the height of the pole.

Answer 1

Let H be the height of pole, makes an angle of depression from top of tower to top and bottom of poles are 45° and 60° respectively.

Let AB = H , CE = h, AD = x and DE = 50m. and.

Here we have to find height of pole.

The corresponding figure is as follows

In

Again in

Hence height of pole is m.