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**SHORT ANSWER TYPE QUESTIONS**

**Q1. A tower stands vertically on the ground. From a point on the ground which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60Â°. Find the height of the tower.**

**Sol. **In the figure, AB is the tower,

âˆ´ AB = h metres

In rt Î” ABC, we have:

â‡’ |âˆµ tan 60Â° = âˆš3 and AB = 20 m

â‡’ h = 20âˆš3 metre

Thus, the height of the tower = 20âˆš3 m.

**Q2. The angle of depression of the top and the bottom of a 9 m high building from the top of a tower are 30Â° and 60Â° respectively. Find the height of the tower and the distance between the building and the tower.**

**Sol. **Let AB represents the building and CD be the tower.

âˆ´ AB = 9 m

In right Î” BDC, we have:

â‡’

In right Î” AEC, we have:

Thus, height of the tower = 13.5 m

Distance between the building and the tower = 7.8 m

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