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
1478 05dcbd69645ad6b59c82e67ac
5dcbd69645ad6b59c82e67ac- 15 mfalse
- 210 mfalse
- 39 mfalse
- 412 mtrue
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Answer : 4. "12 m "
Q: If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be
1008 05dcbd47d1c797b2b2ae1cf5e
5dcbd47d1c797b2b2ae1cf5e- 1$$ √3\over 2 km $$true
- 2$$ 1\over 2 km $$false
- 3$$ 2\over √3$$false
- 43√3false
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Answer : 1. "$$ √3\over 2 km $$ "
Q: A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. From the top of the pole the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is
1390 05d70e5fc60d0a53645a4ad1b
5d70e5fc60d0a53645a4ad1b- 120 mfalse
- 230 mfalse
- 340 mtrue
- 450 mfalse
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Answer : 3. "40 m"
Q: The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is
1030 05dca95b845ad6b59c82bb7fe
5dca95b845ad6b59c82bb7fe- 12 : 1false
- 2√3 : 1false
- 33 : 2false
- 43 : 1true
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Answer : 4. "3 : 1"
Q: A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
1058 05dcbd51ae9d33d6509bed586
5dcbd51ae9d33d6509bed586- 172 mfalse
- 260 mtrue
- 365 mfalse
- 470 mfalse
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Answer : 2. "60 m "
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
981 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
1094 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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