Height and Distance Questions Practice Question and Answer
8 Q: From the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in m) between the height of the pole and its distance from the hill is:
642 064c764d0b6a5e472e26dcbce
64c764d0b6a5e472e26dcbce- 1120(2-√3)false
- 2120(√3-1)false
- 380(√3-1)false
- 480(2-√3)true
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Answer : 4. "80(2-√3)"
Q: As observed from the top of a light house, 120 √3 m above the sea level, the angle of depression of a ship sailing towards it changes from 30° to 60°. The distance travelled by the ship during the period of observation is:
570 064bfb52f2d3130f57553f034
64bfb52f2d3130f57553f034- 1120 √3 mfalse
- 2180 √3 mfalse
- 3180 mfalse
- 4240 mtrue
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Answer : 4. "240 m"
Q: The angle of elevation of the top of a tower from the top of a building whose height is 680 m is 45° and the angle of elevation of the top of same tower from the foot of the same building is 60°. What is the height (in m) of the tower?
615 064b4f48636fc1bf576504f42
64b4f48636fc1bf576504f42- 1340(3 + √3)true
- 2310(3 - √3)false
- 3310(3 + √3)false
- 4340(3 - √3)false
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Answer : 1. "340(3 + √3)"
Q: From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?
1347 064ad3a308c254a4ceae7a678
64ad3a308c254a4ceae7a678- 1false
- 2
- 3false
- 4true
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Answer : 4. " "
Q: The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.
716 064abdd5a8c254a4ceae340be
64abdd5a8c254a4ceae340be- 1true
m - 2false
m - 3false
m - 4false
m
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Answer : 1. " m"
Q: From the top of an upright pole feet high, the angle of elevation of the top of an upright tower was 600. If the foot of the pole was 60 feet away from the foot of the tower, what tall (in feet) was the tower?
1428 0649e82f546047484bc7dbcbd
649e82f546047484bc7dbcbd- 1true
- 2false
- 3false
- 4false
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Answer : 1. " "
Q: Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 300 and 600. If the ships are m apart, then find the height of the light house (in m).
659 0649542311a612ce001e7a28c
649542311a612ce001e7a28c- 1175.4false
- 2165.2false
- 3172.5true
- 4180.5false
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Answer : 3. "172.5 "
Q: A coconut tree swings with the wind in such a manner that the angle covered by its trunk is 18 degrees. If the topmost portion of the tree covers a distance of 44 metres, find the length of the tree.
1598 0647f575b51bf194753011017
647f575b51bf194753011017- 1120 metresfalse
- 2210 metresfalse
- 3140 metrestrue
- 470 metresfalse
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