Height and Distance Questions Practice Question and Answer
8 Q: There are two towers on a horizontal plane. The top of one tower makes an angle of 60 degrees from the horizontal on the original floor of the second tower. And the top of the second tower makes an angle of 30 degrees from the horizontal on the original floor of the first tower. Find the ratio of the height of the Towers.
875 05f76cacde487e60dced914fd
5f76cacde487e60dced914fd- 13: 1true
- 22 : 3false
- 33 : 2false
- 44 : 1false
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Answer : 1. "3: 1"
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
865 05efeb26e9bfe193cd14b7fde
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: From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 meter high, the distance of point P from the foot of the tower is:
852 05f4df78f82369c1d6113e32d
5f4df78f82369c1d6113e32d- 1149 meterfalse
- 2156 meterfalse
- 3173 metertrue
- 4200 meterfalse
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Answer : 3. "173 meter"
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
841 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: A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.
832 05f1547a29a713b0717c7a3a0
5f1547a29a713b0717c7a3a0- 1$$ {10\over{\sqrt{3}}}$$false
- 2$$ {20 \sqrt{3}}\over{3}$$false
- 3$$ {10\sqrt{3}}$$true
- 4$$ {20\sqrt{3}}$$false
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Answer : 3. "$$ {10\sqrt{3}}$$"
Q: From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
828 05dcbd79bf348e931548d0a8a
5dcbd79bf348e931548d0a8a- 110 √ 3 mfalse
- 220 √ 3 mfalse
- 3$$ {10\over √3} m $$false
- 4$$ {20\over √3} m $$true
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Answer : 4. "$$ {20\over √3} m $$ "
Q: The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-
820 060530ff4a01bc44789ad9e09
60530ff4a01bc44789ad9e09- 15√3false
- 215false
- 310√3true
- 420√3false
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Answer : 3. "10√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
818 05dcbd72a45ad6b59c82e67b5
5dcbd72a45ad6b59c82e67b5- 16 mfalse
- 28 √3 mtrue
- 38 mfalse
- 46√3 mfalse
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