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
1420 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 angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
1418 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: A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is
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5f0c0d6bcec10557a8da9971- 113 min 40 sectrue
- 214 min 24 secfalse
- 312 min 20 secfalse
- 413 minfalse
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Answer : 1. "13 min 40 sec "
Q: A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip?
1410 05f0c341a6d435560094339b6
5f0c341a6d435560094339b6- 130 (√3-1) ftfalse
- 218 (√3-1) ftfalse
- 310 (√3-1) fttrue
- 420 (√3-1) ftfalse
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Answer : 3. "10 (√3-1) ft "
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
1408 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: From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is
1398 05d70e57bd8eebc768d1174ce
5d70e57bd8eebc768d1174ce- 1125√3false
- 2125(√3-1)true
- 3125/(√3-1)false
- 4125/(√3+1)false
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Answer : 2. "125(√3-1) "
Q: A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
1383 0606ed2fa556643278a7e1a44
606ed2fa556643278a7e1a44- 190false
- 245false
- 360false
- 430true
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Answer : 4. "30"
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;
1367 05f083775429a37679ec23284
5f083775429a37679ec23284- 124√2 meterfalse
- 296 meterfalse
- 325√3 meterfalse
- 424 metertrue
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