Height and Distance Questions Practice Question and Answer
8 Q: The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is
973 05f0c30a56d435560094325bb
5f0c30a56d435560094325bb- 130(√3+1) mtrue
- 230(√3-1) mfalse
- 320(√3+1) mfalse
- 424(√3+1) mfalse
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Answer : 1. "30(√3+1) 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:-
952 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 30o to 45o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:
950 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 distance between the tops of two building 38 metres and 58 metres and high is 52 metres. What will be the distance (in metres) between two building?
943 05f2a77d4a5ce9779bd29336d
5f2a77d4a5ce9779bd29336d- 142false
- 246false
- 348true
- 444false
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Answer : 3. "48"
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?
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5f4df7f6ff09f8700a308986- 125 meterfalse
- 237.5 meterfalse
- 350 metertrue
- 460 meterfalse
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Answer : 3. "50 meter"
Q: The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
924 05ee057fcca41b347ed32fd83
5ee057fcca41b347ed32fd83- 1$$ {30^0}$$true
- 2$$ {45^0}$$false
- 3$$ {60^0}$$false
- 4$$ {90^0}$$false
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Answer : 1. "$$ {30^0}$$"
Q: A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is
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5f0c00c06d43556009426191- 1400√3mfalse
- 2$${400\over√3}m $$false
- 3$$200+{200\over√3}m $$true
- 4$$200-{200\over√3}m $$false
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Answer : 3. "$$200+{200\over√3}m $$"
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
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5f06e099b13c2d244adab3e6- 110 ( √3-1 ) mfalse
- 21 ( √3 + 1 ) mtrue
- 320 ( √3-1) mfalse
- 420 (√3 + 1) mfalse
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