Question

As observed from the top of a 75 m tall light house, the angle of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

Answer 1

Let be the height of light house m. and and the position of two ships and angle of depression are and. Let and,

Here we have to find distance between two ships.

The corresponding figure is as follows

So we trigonometric ratios,

In ΔOBC

Again in

Hence distance between two ships is m.