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Height And Distance MCQs

1

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?

Option A: 5 metres

Option B: 8 metres

Option C: 10 metres

Option D: 12 metres

Correct Answer: 10 metres ✔

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2

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

Option A: 30°

Option B: 45°

Option C: 60°

Option D: 90°

Correct Answer: 30° ✔

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3

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

Option A: 149 m

Option B: 156 m

Option C: 173 m

Option D: 200 m

Correct Answer: 173 m ✔

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4

If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

Option A: 50°

Option B: 60°

Option C: 70°

Option D: 80°

Correct Answer: 60° ✔

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5

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

Option A: 173 m

Option B: 200 m

Option C: 273 m

Option D: 300 m

Correct Answer: 273 m ✔

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6

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

Option A: 2.3 m

Option B: 4.6 m

Option C: 7.8 m

Option D: 9.2 m

Correct Answer: 9.2 m ✔

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