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9. Some Applications of Trigonometry: Heights and Distances
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Q15 of 68 Page 9

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?

A diagram of the situation explained is drawn,



We know that from trigonometric ratios that,






Therefore, the calculated height of tower is 15√3m.


More from this chapter

All 68 →
13

The height of a telephone pole is times the length of its shadow, then find the angle of elevation of the source of light.

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.

16

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.

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.

Questions · 68
9. Some Applications of Trigonometry: Heights and Distances
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