Height and Distance Questions Practice Question and Answer
8 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
824 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: There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is;
1016 05f083456429a37679ec22ff7
5f083456429a37679ec22ff7- 136√3 mfalse
- 218√3 mfalse
- 318 mfalse
- 436 mtrue
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Answer : 4. "36 m"
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 sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732)
1159 05dcbd87745ad6b59c82e6940
5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
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Answer : 4. "5.464 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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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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