Question

As observed from the top of a 75m high lighthouse from the sea-level, the angles of depression of two ships are 30º and 45º.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 AB be the lighthouse of height 75 m and P, Q be the position of the two ships whose angles of depression are 45º and 30º, respectively (Fig 11.28).