Height and Distance Questions Practice Question and Answer
8 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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Answer : 2. "1 ( √3 + 1 ) m"
Q: If the length of a shadow of a pole on a level ground is twice the length of that pole, the angle of elevation of the sun is:-
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5f06ddf3b13c2d244adaa35f- 130°false
- 245°false
- 360°false
- 4None of thesetrue
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Answer : 4. "None of these"
Q: If the angle of the elevation of sun is θ and the length of the shadow of a pole of length P is S, then
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5efeb26e9bfe193cd14b7fde- 1P=Scosθfalse
- 2P = S sinθfalse
- 3$$ P= {S\over{Cotθ}}$$true
- 4P=S cotθfalse
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Answer : 3. "$$ P= {S\over{Cotθ}}$$"
Q: The top of two poles of height 24 m and 42 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is
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5ef183e27fed557ba2aaefc7- 1$$12\sqrt{3}$$true
- 2$$18\sqrt{3}$$false
- 3$$16\sqrt{3}$$false
- 4$$24\sqrt{3}$$false
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Answer : 1. "$$12\sqrt{3}$$"
Q: The shadow of a tower, when the angle of elevation of the sun is 60° is found to be 15 m shorter than when it is 45°. Then height of the tower is
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5dcd4296f50c4b23b08334b8- 141.5 mfalse
- 235.5 mtrue
- 326.5mfalse
- 420.5mfalse
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Answer : 2. "35.5 m "
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:
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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: 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:
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5ee057108c4c964f73d7822c- 1149 mfalse
- 2156 mfalse
- 3173 mtrue
- 4200 mfalse
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Answer : 3. "173 m"
Q: The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is
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5dcbd961e9d33d6509beda5f- 15 ( √3 + 1 ) meterstrue
- 25 ( √3 - 1 ) metersfalse
- 35√3 metersfalse
- 4$$ {5\over √3} meters $$false
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