Height and Distance Questions Practice Question and Answer
8 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?
1362 05f2bd3a8cef453383f227986
5f2bd3a8cef453383f227986- 1$$ {210\sqrt{3}}$$false
- 2240false
- 3$$ {240\sqrt{3}}$$false
- 4210true
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Answer : 4. "210"
Q: Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?
1352 05f0ec6bd1090a0586540489b
5f0ec6bd1090a0586540489b- 140false
- 2$$ {40\sqrt{3}}$$true
- 345false
- 4$$ {60\sqrt{3}}$$false
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Answer : 2. "$$ {40\sqrt{3}}$$"
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:
1350 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: The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?
1350 05f2a7835a5ce9779bd293457
5f2a7835a5ce9779bd293457- 1193.22false
- 2161.05true
- 3144.04false
- 4176.12false
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Answer : 2. "161.05"
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.
1338 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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Answer : 3. "$$ {10\sqrt{3}}$$"
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?
1321 05f0c31b96d43556009433230
5f0c31b96d43556009433230- 135 √3false
- 260 mtrue
- 350 √3 mfalse
- 480 mfalse
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Answer : 2. "60 m "
Q: The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-
1314 05f5b030569ed13038c1a20c0
5f5b030569ed13038c1a20c0- 1$$ 40 {(\sqrt{3}-1)}\ metre $$false
- 2$$ 40 {(3+\sqrt{3})}\ metre $$false
- 3$$ 40 {(3-\sqrt{3})}\ metre $$false
- 4$$ 40({\sqrt{3}}+1)\ meter$$true
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Answer : 4. "$$ 40({\sqrt{3}}+1)\ meter$$"
Q: If the angle of elevation of the Sun changes from 30 ° to 45 °, the length of the shadow of a pillar decreases by 20 meters. The height of the pillar is
1301 05f06e099b13c2d244adab3e6
5f06e099b13c2d244adab3e6- 110 ( √3-1 ) mfalse
- 21 ( √3 + 1 ) mtrue
- 320 ( √3-1) mfalse
- 420 (√3 + 1) mfalse
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