Height and Distance Questions Practice Question and Answer
8 Q: The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is
748 05f08481f8e448621429f1197
5f08481f8e448621429f1197- 1√13 metersfalse
- 23 metersfalse
- 3√3 metersfalse
- 413 meterstrue
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Answer : 4. "13 meters "
Q: There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is;
741 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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Answer : 4. "36 m"
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
739 05dcbd51ae9d33d6509bed586
5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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Answer : 2. "60 m "
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?
733 05f0ec6bd1090a0586540489b
5f0ec6bd1090a0586540489b- 140false
- 2$$ {40\sqrt{3}}$$true
- 345false
- 4$$ {60\sqrt{3}}$$false
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Answer : 2. "$$ {40\sqrt{3}}$$"
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:-
729 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: 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:-
724 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: The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?
710 05f2bd33e21de6a117aeb967e
5f2bd33e21de6a117aeb967e- 1$$ {150\sqrt{3}}$$false
- 2$$ {200\sqrt{3}}$$true
- 3$$ {100\sqrt{3}}$$false
- 4$$ {50\sqrt{3}}$$false
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Answer : 2. "$$ {200\sqrt{3}}$$"
Q: From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732)
704 15f0bf575cec10557a8da0e82
5f0bf575cec10557a8da0e82- 110 √3 mfalse
- 27.32 mtrue
- 310 (√30+2) mfalse
- 410 (√30+1) mfalse
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