Question

From the top of a building 15 m high the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and building.

Answer 1

In the figure let OD = h and AD be the tower. The angle of elevation from the top of building to the top of tower is to be found 30°. Height of building ism and an angle of elevation from the bottom of same building is found to be 60°.

Let DC = x and , ,

Here we have to find height of tower and distance between the tower and building.

The corresponding diagram is as follows

In a triangle,

Again in a triangle,

So height of the tower is as follows:

Hence the required height is meter and distance is meter.