Height and Distance Questions Practice Question and Answer
8 Q: A Navy captain going away from a lighthouse at the speed of 4[(73) -1] m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60 ° to 45 °. What is the height (in meters) of the lighthouse?
1408 05f0c24b16d43556009430587
5f0c24b16d43556009430587- 1360√3false
- 2280√2false
- 3240√3true
- 4480[(√3)-1]false
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Answer : 3. "240√3 "
Q: A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree
1374 05f0c107b6d4355600942c91c
5f0c107b6d4355600942c91c- 110(√3+1) mfalse
- 210(√3-1) mfalse
- 310 √3 mtrue
- 4false
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Answer : 3. "10 √3 m "
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-
1371 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
1355 05d70e681d8eebc768d1176e9
5d70e681d8eebc768d1176e9- 115 mfalse
- 218 mtrue
- 316 mfalse
- 411 mfalse
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Answer : 2. "18 m"
Q: From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?
1346 064ad3a308c254a4ceae7a678
64ad3a308c254a4ceae7a678- 1false
- 2
- 3false
- 4true
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Answer : 4. " "
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
1336 05dcbd961e9d33d6509beda5f
5dcbd961e9d33d6509beda5f- 15 ( √3 + 1 ) meterstrue
- 25 ( √3 - 1 ) metersfalse
- 35√3 metersfalse
- 4false
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Answer : 1. "5 ( √3 + 1 ) meters "
Q: From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.
1318 0600e93b77fb81d03bf731436
600e93b77fb81d03bf731436- 1h (Cot B +Cot A)true
- 2h (tanB +tanA)false
- 3h (tanA - tan B)false
- 4h(cot B-cotA)false
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Answer : 1. "h (Cot B +Cot A)"
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)
1265 05dcbd87745ad6b59c82e6940
5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
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