**Applications of Trigonometry Heights and Distances Chapter 9 Exercise 9.1 Question 8**

**8. **A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of of the statue is and from the same point the angle of elevation of the top of the pedestal is 45. Find the height of the pedestal.

**Solution:**

It is given that a statue (AC) which is 1.6 m tall is standing on the top of pedestal (DC).

In

** (1)**

In , we have

Putting equation** (1)**, we get

m

Therefore, **the height of pedestal** is equal to m