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?
1554 06073fbbfc61d5c2ec9409048
6073fbbfc61d5c2ec9409048- 110 mtrue
- 217.32 mfalse
- 334.64 mfalse
- 430 mfalse
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Answer : 1. "10 m"
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:
1553 05ee057108c4c964f73d7822c
5ee057108c4c964f73d7822c- 1149 mfalse
- 2156 mfalse
- 3173 mtrue
- 4200 mfalse
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Answer : 3. "173 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
1548 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 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?
1545 05f2bd3a8cef453383f227986
5f2bd3a8cef453383f227986- 1$$ {210\sqrt{3}}$$false
- 2240false
- 3$$ {240\sqrt{3}}$$false
- 4210true
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Answer : 4. "210"
Q: The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is
1531 05dca95b845ad6b59c82bb7fe
5dca95b845ad6b59c82bb7fe- 12 : 1false
- 2√3 : 1false
- 33 : 2false
- 43 : 1true
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Answer : 4. "3 : 1"
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:
1525 05f4df78f82369c1d6113e32d
5f4df78f82369c1d6113e32d- 1149 meterfalse
- 2156 meterfalse
- 3173 metertrue
- 4200 meterfalse
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Answer : 3. "173 meter"
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:
1515 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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Answer : 4. "$$ {10(\sqrt{3}+1)}\ meter$$"
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.
1512 05f1547a29a713b0717c7a3a0
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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