Height and Distance Questions Practice Question and Answer
8 Q: An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :
1668 0600a8dffbaeda263c3c88b13
600a8dffbaeda263c3c88b13- 1$$ {9\sqrt{3}\over 10}{\ meter}$$false
- 2$$ {3\sqrt{3}\over 10}{\ meter}$$false
- 3$$ {3\sqrt{3}\over 5}{\ meter}$$false
- 4$$ {9\sqrt{3}\over 5}{\ meter}$$true
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"
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
1654 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: 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
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5dcbd81145ad6b59c82e67fc- 1$$ {13\over √3} meters $$false
- 213 meterstrue
- 315 metersfalse
- 43. 25 metersfalse
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Answer : 2. "13 meters "
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
1648 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: 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
1641 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: 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
1626 05f0c0d6bcec10557a8da9971
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?
1621 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: 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:
1609 0606ed2fa556643278a7e1a44
606ed2fa556643278a7e1a44- 190false
- 245false
- 360false
- 430true
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