**Applications of Trigonometry Heights and Distances Chapter 9 Exercise 9.1 Question 13**

**13.** As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are and . If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.

**Solution:**

It is given that height of lighthouse **(AB)** = **75 m**

We want to find distance between two ships which is CD.

In

m

In

m

Therefore, the Distance between two ships (CD) = BD - BC = m