Height and Distance Questions Practice Question and Answer
8 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:
1793 05f4df78f82369c1d6113e32d
5f4df78f82369c1d6113e32d- 1149 meterfalse
- 2156 meterfalse
- 3173 metertrue
- 4200 meterfalse
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Answer : 3. "173 meter"
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
1786 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: 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:
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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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Answer : 4. "$$ {10(\sqrt{3}+1)}\ meter$$"
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?
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5f2bd3a8cef453383f227986- 1$$ {210\sqrt{3}}$$false
- 2240false
- 3$$ {240\sqrt{3}}$$false
- 4210true
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Answer : 4. "210"
Q: From a point P on a level ground, the angle of elevation of the top tower is 30o.If the tower is 100 m high, the distance of point P from the foot of the tower is:
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5ee057108c4c964f73d7822c- 1149 mfalse
- 2156 mfalse
- 3173 mtrue
- 4200 mfalse
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Answer : 3. "173 m"
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
1728 05f0c02d06d43556009426980
5f0c02d06d43556009426980- 118false
- 224true
- 312false
- 416false
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Answer : 2. "24"
Q: An earthing wire connected to the top of an electricity pole has its other end inside the ground. The foot of the wire is 1.5 m away from the pole and the wire is making an angle of 60° with the level of the ground. Determine the height of pole.
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5f0c32cffce67160728a5962- 1√3false
- 2$${√3\over2}m$$false
- 3$${3√3\over2}m$$true
- 43 mfalse
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