Height and Distance Questions Practice Question and Answer
8 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?
1648 06073fbbfc61d5c2ec9409048
6073fbbfc61d5c2ec9409048- 110 mtrue
- 217.32 mfalse
- 334.64 mfalse
- 430 mfalse
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Answer : 1. "10 m"
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
1629 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 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:
1621 05f4df78f82369c1d6113e32d
5f4df78f82369c1d6113e32d- 1149 meterfalse
- 2156 meterfalse
- 3173 metertrue
- 4200 meterfalse
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Answer : 3. "173 meter"
Q: A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30o. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?
1621 05f2bd3a8cef453383f227986
5f2bd3a8cef453383f227986- 1$$ {210\sqrt{3}}$$false
- 2240false
- 3$$ {240\sqrt{3}}$$false
- 4210true
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Answer : 4. "210"
Q: A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its feet and makes an angle of 30 ° with the horizontal. The height (in metre) of the post is
1619 05f0c02d06d43556009426980
5f0c02d06d43556009426980- 118false
- 224true
- 312false
- 416false
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Answer : 2. "24"
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?
1612 05f0c2f546d43556009431d91
5f0c2f546d43556009431d91- 1201√3false
- 2305√3false
- 3216√3true
- 4105√3false
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Answer : 3. "216√3 "
Q: A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.
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5f1547a29a713b0717c7a3a0- 1$$ {10\over{\sqrt{3}}}$$false
- 2$$ {20 \sqrt{3}}\over{3}$$false
- 3$$ {10\sqrt{3}}$$true
- 4$$ {20\sqrt{3}}$$false
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Answer : 3. "$$ {10\sqrt{3}}$$"
Q: If the angle of elevation of the sun changes from 30o to 45o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:
1604 0609909ebc4aedb3e80669ee5
609909ebc4aedb3e80669ee5- 1$$ {20(\sqrt{3}-1)}\ meter$$false
- 2$$ {20(\sqrt{3}+1)}\ meter$$false
- 3$$ {10(\sqrt{3}-1)}\ meter$$false
- 4$$ {10(\sqrt{3}+1)}\ meter$$true
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