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 :
1781 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: 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;
1773 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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Answer : 4. "36 m"
Q: If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be
1762 05dcbd47d1c797b2b2ae1cf5e
5dcbd47d1c797b2b2ae1cf5e- 1$$ √3\over 2 km $$true
- 2$$ 1\over 2 km $$false
- 3$$ 2\over √3$$false
- 43√3false
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Answer : 1. "$$ √3\over 2 km $$ "
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
1748 05f08481f8e448621429f1197
5f08481f8e448621429f1197- 1√13 metersfalse
- 23 metersfalse
- 3√3 metersfalse
- 413 meterstrue
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Answer : 4. "13 meters "
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?
1745 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 ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?
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6073fbbfc61d5c2ec9409048- 110 mtrue
- 217.32 mfalse
- 334.64 mfalse
- 430 mfalse
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Answer : 1. "10 m"
Q: A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is
1737 05f0c00c06d43556009426191
5f0c00c06d43556009426191- 1400√3mfalse
- 2$${400\over√3}m $$false
- 3$$200+{200\over√3}m $$true
- 4$$200-{200\over√3}m $$false
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Answer : 3. "$$200+{200\over√3}m $$"
Q: The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?
1727 05f4df7f6ff09f8700a308986
5f4df7f6ff09f8700a308986- 125 meterfalse
- 237.5 meterfalse
- 350 metertrue
- 460 meterfalse
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