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-
955 05e4cca1f701cfd31ff61c1b9
5e4cca1f701cfd31ff61c1b9- 172 mtrue
- 275 mfalse
- 360 mfalse
- 465 mfalse
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Answer : 1. "72 m"
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
944 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: The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport.
903 05f8015244e4f797ddbd7d534
5f8015244e4f797ddbd7d534- 1866 Metertrue
- 2856 Meterfalse
- 3800 Meterfalse
- 4500 Meterfalse
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Answer : 1. "866 Meter"
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)
903 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 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)
874 05dcbd87745ad6b59c82e6940
5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
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Answer : 4. "5.464 m"
Q: A boat is moving away from an observation tower. It makes an angle of depression of 60 ° with an observer's eye when at a distance of 50 m from the tower. After 8 sec, the angle of depression becomes 30 °. By assuming that it is running in still water, the approximate speed of the boat is
863 05f0c1694fce671607289ec0d
5f0c1694fce671607289ec0d- 145 km/htrue
- 250 km/hfalse
- 333 km/hfalse
- 442 km/hfalse
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Answer : 1. "45 km/h "
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?
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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: An Aeroplan is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°, If point X is on ground, then what is the speed (in km / hr.) of Aeroplan?
838 05f0c2f546d43556009431d91
5f0c2f546d43556009431d91- 1201√3false
- 2305√3false
- 3216√3true
- 4105√3false
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