Height and Distance Questions Practice Question and Answer
8 Q: The shadow of a tower standing on a level plane is found to be 30 metre longer when the Sun's altitude changes from 60 ° to 45 °. The height of the tower is
1211 05f0bf3fc6d435560094248be
5f0bf3fc6d435560094248be- 115 (√3-1) mfalse
- 215 (3-√3) mfalse
- 315 (3+√3) mtrue
- 415 (3-√3) mfalse
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Answer : 3. "15 (3+√3) m "
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
1197 05dcd4296f50c4b23b08334b8
5dcd4296f50c4b23b08334b8- 141.5 mfalse
- 235.5 mtrue
- 326.5mfalse
- 420.5mfalse
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Answer : 2. "35.5 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
1178 05dcbd51ae9d33d6509bed586
5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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Answer : 2. "60 m "
Q: The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is;
1164 05f083775429a37679ec23284
5f083775429a37679ec23284- 124√2 meterfalse
- 296 meterfalse
- 325√3 meterfalse
- 424 metertrue
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Answer : 4. "24 meter"
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
1152 05dcbd81145ad6b59c82e67fc
5dcbd81145ad6b59c82e67fc- 1false
- 213 meterstrue
- 315 metersfalse
- 43. 25 metersfalse
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Answer : 2. "13 meters "
Q: The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is
1145 05f0c30a56d435560094325bb
5f0c30a56d435560094325bb- 130(√3+1) mtrue
- 230(√3-1) mfalse
- 320(√3+1) mfalse
- 424(√3+1) mfalse
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Answer : 1. "30(√3+1) m "
Q: There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is;
1142 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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Answer : 4. "36 m"
Q: The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is
1134 05f0c06b46d435560094277da
5f0c06b46d435560094277da- 110(√3-1) mfalse
- 210(√3+1) mfalse
- 35(√3-1) mfalse
- 45(3+√3) mtrue
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