Height and Distance Questions Practice Question and Answer
8 Q: The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-
958 05e4cca1f701cfd31ff61c1b9
5e4cca1f701cfd31ff61c1b9- 172 mtrue
- 275 mfalse
- 360 mfalse
- 465 mfalse
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Answer : 1. "72 m"
Q: The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
814 05dcbd608f348e931548d079f
5dcbd608f348e931548d079f- 150 √ 3 mfalse
- 2$$ 50\over √3$$ mtrue
- 375 √3 mfalse
- 4$$ 75\over √3$$ mfalse
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Answer : 2. "$$ 50\over √3$$ m"
Q: The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732)
877 05dcbd87745ad6b59c82e6940
5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
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Answer : 4. "5.464 m"
Q: The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is
758 05dcbd81145ad6b59c82e67fc
5dcbd81145ad6b59c82e67fc- 1$$ {13\over √3} meters $$false
- 213 meterstrue
- 315 metersfalse
- 43. 25 metersfalse
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Answer : 2. "13 meters "
Q: From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
675 05dcbd79bf348e931548d0a8a
5dcbd79bf348e931548d0a8a- 110 √ 3 mfalse
- 220 √ 3 mfalse
- 3$$ {10\over √3} m $$false
- 4$$ {20\over √3} m $$true
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Answer : 4. "$$ {20\over √3} m $$ "
Q: The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is
639 05dcbd72a45ad6b59c82e67b5
5dcbd72a45ad6b59c82e67b5- 16 mfalse
- 28 √3 mtrue
- 38 mfalse
- 46√3 mfalse
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Answer : 2. "8 √3 m "
Q: From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is
1086 05dcbd69645ad6b59c82e67ac
5dcbd69645ad6b59c82e67ac- 15 mfalse
- 210 mfalse
- 39 mfalse
- 412 mtrue
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Answer : 4. "12 m "
Q: A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
739 05dcbd51ae9d33d6509bed586
5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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