Height and Distance Questions Practice Question and Answer
8 Q: The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport.
1503 05f8015244e4f797ddbd7d534
5f8015244e4f797ddbd7d534- 1866 Metertrue
- 2856 Meterfalse
- 3800 Meterfalse
- 4500 Meterfalse
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Answer : 1. "866 Meter"
Q: There are two towers on a horizontal plane. The top of one tower makes an angle of 60 degrees from the horizontal on the original floor of the second tower. And the top of the second tower makes an angle of 30 degrees from the horizontal on the original floor of the first tower. Find the ratio of the height of the Towers.
892 05f76cacde487e60dced914fd
5f76cacde487e60dced914fd- 13: 1true
- 22 : 3false
- 33 : 2false
- 44 : 1false
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Answer : 1. "3: 1"
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:-
1167 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:-
972 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 the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?
956 05f4df7f6ff09f8700a308986
5f4df7f6ff09f8700a308986- 125 meterfalse
- 237.5 meterfalse
- 350 metertrue
- 460 meterfalse
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Answer : 3. "50 meter"
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:
868 05f4df78f82369c1d6113e32d
5f4df78f82369c1d6113e32d- 1149 meterfalse
- 2156 meterfalse
- 3173 metertrue
- 4200 meterfalse
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Answer : 3. "173 meter"
Q: A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__
923 05f2cfd8279b9e641a7607eeb
5f2cfd8279b9e641a7607eeb- 160 cmfalse
- 280 cmtrue
- 340 cmfalse
- 4100 cmfalse
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Answer : 2. "80 cm"
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?
1037 05f2bd3a8cef453383f227986
5f2bd3a8cef453383f227986- 1$$ {210\sqrt{3}}$$false
- 2240false
- 3$$ {240\sqrt{3}}$$false
- 4210true
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