Height and Distance Questions Practice Question and Answer
8 Q: The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is
681 05f0c06b46d435560094277da
5f0c06b46d435560094277da- 110(√3-1) mfalse
- 210(√3+1) mfalse
- 35(√3-1) mfalse
- 45(3+√3) mtrue
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Answer : 4. "5(3+√3) m "
Q: From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
675 05dcbd79bf348e931548d0a8a
5dcbd79bf348e931548d0a8a- 110 √ 3 mfalse
- 220 √ 3 mfalse
- 3$$ {10\over √3} m $$false
- 4$$ {20\over √3} m $$true
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Answer : 4. "$$ {20\over √3} m $$ "
Q: There are two towers on a horizontal plane. The top of one tower makes an angle of 60 degrees from the horizontal on the original floor of the second tower. And the top of the second tower makes an angle of 30 degrees from the horizontal on the original floor of the first tower. Find the ratio of the height of the Towers.
661 05f76cacde487e60dced914fd
5f76cacde487e60dced914fd- 13: 1true
- 22 : 3false
- 33 : 2false
- 44 : 1false
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Answer : 1. "3: 1"
Q: The distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long?
658 05f0c31b96d43556009433230
5f0c31b96d43556009433230- 135 √3false
- 260 mtrue
- 350 √3 mfalse
- 480 mfalse
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Answer : 2. "60 m "
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
654 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 point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 meter high, the distance of point P from the foot of the tower is:
654 05f4df78f82369c1d6113e32d
5f4df78f82369c1d6113e32d- 1149 meterfalse
- 2156 meterfalse
- 3173 metertrue
- 4200 meterfalse
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Answer : 3. "173 meter"
Q: The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
653 0606d78f36a85553684e1c486
606d78f36a85553684e1c486- 116 mfalse
- 220√ 3 mtrue
- 320 mfalse
- 430 mfalse
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Answer : 2. "20√ 3 m"
Q: A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__
650 05f2cfd8279b9e641a7607eeb
5f2cfd8279b9e641a7607eeb- 160 cmfalse
- 280 cmtrue
- 340 cmfalse
- 4100 cmfalse
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