Height and Distance Questions Practice Question and Answer
8 Q: A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is
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5f0c196ccec10557a8daa746- 1500 √3false
- 2$${500\over√3}m$$false
- 3100√3true
- 4$${1000\over√3}m$$false
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Answer : 3. "100√3 "
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
643 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: The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?
641 05f2a7835a5ce9779bd293457
5f2a7835a5ce9779bd293457- 1193.22false
- 2161.05true
- 3144.04false
- 4176.12false
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Answer : 2. "161.05"
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
639 05dcbd72a45ad6b59c82e67b5
5dcbd72a45ad6b59c82e67b5- 16 mfalse
- 28 √3 mtrue
- 38 mfalse
- 46√3 mfalse
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Answer : 2. "8 √3 m "
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?
636 05f0c2c15fce67160728a33c3
5f0c2c15fce67160728a33c3- 198.25false
- 2120.24false
- 384.14false
- 493.3true
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Answer : 4. "93.3 "
Q: A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be
633 05fbe71142e911753dd562895
5fbe71142e911753dd562895- 1142 mtrue
- 2140 mfalse
- 3139 mfalse
- 4138 mfalse
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Answer : 1. "142 m"
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:
630 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 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
625 05f084486429a37679ec2706e
5f084486429a37679ec2706e- 1$$ab$$false
- 2$$a^2b^2$$false
- 3$$\sqrt{ab}\ $$true
- 4$$\sqrt{a^2b}\ $$false
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