**Applications of Trigonometry Heights and Distances Chapter 9 Exercise 9.1 Question 12**

**12.** From the top of a 7 m building, the angle of elevation of the top of a cable tower is and the angle of depression of its foot is . Determine the height of the tower.

**Solution:**

It is given that height of building **(BC)** = 7 m

We want to find height of tower **AD**.

In

m

We have **CD = BE**, Therefore, **BE=7** m

In

m

**Height of Tower (AD)** **= AE + DE =** m