Height and Distance Questions Practice Question and Answer
8 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;
1040 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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Answer : 4. "36 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
938 05f06e099b13c2d244adab3e6
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
863 05ef183e27fed557ba2aaefc7
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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