Question

A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From a point 20 m away this point on the same bank, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the width of the river.

Answer 1

Let AB be the T.V tower of height h m on a bank of river and D be the point on the opposite of the river. An angle of elevation at top of tower is 60° and from a point 20m away then angle of elevation of tower at the same point is 30°. Let AB = h and BC = x.

Here we have to find height and width of river.

The corresponding figure is here

In

Again in

Hence the height of the tower is m and width of river is m.