Height and Distance Questions Practice Question and Answer
8 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 distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long?
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5f0c31b96d43556009433230- 135 √3false
- 260 mtrue
- 350 √3 mfalse
- 480 mfalse
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Answer : 2. "60 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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Answer : 2. "1 ( √3 + 1 ) m"
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 angle of elevation of the top of a tower from the point P and Q at distance of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary . The height of the tower is
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5f084486429a37679ec2706e- 1$$ab$$false
- 2$$a^2b^2$$false
- 3$$\sqrt{ab}\ $$true
- 4$$\sqrt{a^2b}\ $$false
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Answer : 3. "$$\sqrt{ab}\ $$"
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__
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5f2cfd8279b9e641a7607eeb- 160 cmfalse
- 280 cmtrue
- 340 cmfalse
- 4100 cmfalse
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Answer : 2. "80 cm"
Q: The upper part of a tree is broken over by the wind makes an angle of 60 ° with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?
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5f0c2c15fce67160728a33c3- 198.25false
- 2120.24false
- 384.14false
- 493.3true
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Answer : 4. "93.3 "
Q: The top of two poles of height 24m and 36 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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5dcbd72a45ad6b59c82e67b5- 16 mfalse
- 28 √3 mtrue
- 38 mfalse
- 46√3 mfalse
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