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-
2173 05e4cca1f701cfd31ff61c1b9
5e4cca1f701cfd31ff61c1b9- 172 mtrue
- 275 mfalse
- 360 mfalse
- 465 mfalse
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Answer : 1. "72 m"
Q: A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is
2164 05d70e681d8eebc768d1176e9
5d70e681d8eebc768d1176e9- 115 mfalse
- 218 mtrue
- 316 mfalse
- 411 mfalse
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Answer : 2. "18 m"
Q: The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
2164 05ee057fcca41b347ed32fd83
5ee057fcca41b347ed32fd83- 1$$ {30^0}$$true
- 2$$ {45^0}$$false
- 3$$ {60^0}$$false
- 4$$ {90^0}$$false
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Answer : 1. "$$ {30^0}$$"
Q: The distance between two pillars is 120 meters. The height of one pillar is thrice of the other pillar. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the pillar is (use : √3 = 1.732 )
2125 05f0c22079b26c36beb2bf91c
5f0c22079b26c36beb2bf91c- 169.28false
- 2103.92true
- 334.64false
- 451.96false
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Answer : 2. "103.92"
Q: The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is
2077 05dcbd961e9d33d6509beda5f
5dcbd961e9d33d6509beda5f- 15 ( √3 + 1 ) meterstrue
- 25 ( √3 - 1 ) metersfalse
- 35√3 metersfalse
- 4$$ {5\over √3} meters $$false
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Answer : 1. "5 ( √3 + 1 ) meters "
Q: An Aeroplan flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 60 °. After 15 sec flight, its angle of elevation is changed to 30 °. The speed of the Aeroplan (taking √3 = 1.732)
2042 05f0c1562cec10557a8daa19c
5f0c1562cec10557a8daa19c- 1235.93 m/sec.false
- 2236.25 m/sec.false
- 3230.63 m/sec.false
- 4230.93 m/sec.true
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Answer : 4. "230.93 m/sec. "
Q: The shadow of a tower, when the angle of elevation of the sun is 60° is found to be 15 m shorter than when it is 45°. Then height of the tower is
2029 05dcd4296f50c4b23b08334b8
5dcd4296f50c4b23b08334b8- 141.5 mfalse
- 235.5 mtrue
- 326.5mfalse
- 420.5mfalse
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Answer : 2. "35.5 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
2014 05dcbd608f348e931548d079f
5dcbd608f348e931548d079f- 150 √ 3 mfalse
- 2$$ 50\over √3$$ mtrue
- 375 √3 mfalse
- 4$$ 75\over √3$$ mfalse
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