Height and Distance Questions Practice Question and Answer
8 Q: From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is
1484 05dcbd69645ad6b59c82e67ac
5dcbd69645ad6b59c82e67ac- 15 mfalse
- 210 mfalse
- 39 mfalse
- 412 mtrue
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Answer : 4. "12 m "
Q: 129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 °. The height of this cliff is
814 05f0c0f209b26c36beb2bb7f5
5f0c0f209b26c36beb2bb7f5- 143√3 metretrue
- 247 √3 metrefalse
- 350 √3 metrefalse
- 445 √3 metrefalse
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Answer : 1. "43√3 metre "
Q: From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is
982 05d70e57bd8eebc768d1174ce
5d70e57bd8eebc768d1174ce- 1125√3false
- 2125(√3-1)true
- 3125/(√3-1)false
- 4125/(√3+1)false
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Answer : 2. "125(√3-1) "
Q: A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is
1096 05d70e681d8eebc768d1176e9
5d70e681d8eebc768d1176e9- 115 mfalse
- 218 mtrue
- 316 mfalse
- 411 mfalse
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Answer : 2. "18 m"
Q: The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
1013 05dcbd608f348e931548d079f
5dcbd608f348e931548d079f- 150 √ 3 mfalse
- 2$$ 50\over √3$$ mtrue
- 375 √3 mfalse
- 4$$ 75\over √3$$ mfalse
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Answer : 2. "$$ 50\over √3$$ m"
Q: The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-
1243 05e4cca1f701cfd31ff61c1b9
5e4cca1f701cfd31ff61c1b9- 172 mtrue
- 275 mfalse
- 360 mfalse
- 465 mfalse
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Answer : 1. "72 m"
Q: A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is
920 05f0c00c06d43556009426191
5f0c00c06d43556009426191- 1400√3mfalse
- 2$${400\over√3}m $$false
- 3$$200+{200\over√3}m $$true
- 4$$200-{200\over√3}m $$false
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Answer : 3. "$$200+{200\over√3}m $$"
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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