Q16 of 68 Page 9

At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower.

A diagram of the given situation is drawn,



We know that from trigonometric ratios that,






Therefore, the calculated height of tower is m.


More from this chapter

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14

An observer 1.75 m tall is at a distance of 24 m from a wall 25.75 m high. Find the angle of elevation of the top of the wall at the observer's eye.

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A tower stands vertically on the ground. At a point on the ground, 15 m away from the foot of the tower, the angle of elevation of the top of the tower is 60°. What is the height of the tower?

 17

The angle of elevation of the top of a tower at a distance of 50 m from its foot is 60°. Find the height of the tower.

 18

A ladder is placed against a vertical wall such that it just reaches the top of the wall. The foot of the ladder is 1.5 m away from the wall and the ladder is inclined at an angle of 60° with the ground. Find the height of the wall.