Height and Distance Questions Practice Question and Answer
8 Q: A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree
1552 05f0c107b6d4355600942c91c
5f0c107b6d4355600942c91c- 110(√3+1) mfalse
- 210(√3-1) mfalse
- 310 √3 mtrue
- 4$${10√3 \over3}m$$false
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Answer : 3. "10 √3 m "
Q: Two poles of equal height are standing opposite to each other on either side of a road, which is 28 metre wide. From a point between them on the road, the angle of elevation of the top are 30° and 60°. The height of each pole is:-
1513 05f5b0349dc518b408a41c7d7
5f5b0349dc518b408a41c7d7- 1$$ {6{\sqrt{3}}}\ metre$$true
- 2$$ {5{\sqrt{3}}}\ metre$$false
- 3$$ {4{\sqrt{3}}}\ metre$$false
- 4$$ {7{\sqrt{3}}}\ metre$$false
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Answer : 1. "$$ {6{\sqrt{3}}}\ metre$$"
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 :
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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 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)
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5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
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Answer : 4. "5.464 m"
Q: The shadow of a tower, when the angle of elevation of the sun is 60° is found to be 15 m shorter than when it is 45°. Then height of the tower is
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5dcd4296f50c4b23b08334b8- 141.5 mfalse
- 235.5 mtrue
- 326.5mfalse
- 420.5mfalse
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Answer : 2. "35.5 m "
Q: A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is
1443 05f0c196ccec10557a8daa746
5f0c196ccec10557a8daa746- 1500 √3false
- 2$${500\over√3}m$$false
- 3100√3true
- 4$${1000\over√3}m$$false
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Answer : 3. "100√3 "
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?
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5f0c2f546d43556009431d91- 1201√3false
- 2305√3false
- 3216√3true
- 4105√3false
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Answer : 3. "216√3 "
Q: A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
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5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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