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height and distance MCQs

Practise focused height and distance questions with marked answers for exam preparation and subject revision.

height and distance Mcqs
1. 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 :_________?
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A. 156 m

B. 149 m

C. 173 m

D. 200 m

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 :________?
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A. 30

B. 60

C. 45

D. 90

3. 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.
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A. 80

B. 50

C. 60

D. 70

4. 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 :_________?
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A. 7.8 m

B. 9.2 m

C. 2.3 m

D. 4.6 m

5. 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 ?
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A. 5 metres

B. 12 metres

C. 10 metres

D. 8 metres

6. 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 :_________?
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A. 300 m

B. 273 m

C. 173 m

D. 200 m