Height and Distance Questions Practice Question and Answer

Q:

From the top of an upright pole $$24\sqrt { 3} $$ 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?

1254 0

  • 1
    $$84\sqrt { 3} $$
    Correct
    Wrong
  • 2
    $$36\sqrt { 3} $$
    Correct
    Wrong
  • 3
    $$44\sqrt { 3} $$
    Correct
    Wrong
  • 4
    $$60\sqrt { 3} $$
    Correct
    Wrong
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Answer : 1. "$$84\sqrt { 3} $$"

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.

572 0

  • 1
    $$70 \sqrt { 3} $$m
    Correct
    Wrong
  • 2
    $$60 \sqrt { 3} $$m
    Correct
    Wrong
  • 3
    $$50 \sqrt { 3} $$m
    Correct
    Wrong
  • 4
    $$70 \sqrt { 2} $$m
    Correct
    Wrong
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Answer : 1. "$$70 \sqrt { 3} $$m"

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?

1143 0

  • 1
    $$40\sqrt {3} $$
    Correct
    Wrong
  • 2
    $${151\sqrt {3}}\over 6 $$
    Correct
    Wrong
  • 3
    $${77\over 4}\sqrt {3}$$
    Correct
    Wrong
  • 4
    $${40\sqrt {3}}\over 3 $$
    Correct
    Wrong
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Answer : 4. "$${40\sqrt {3}}\over 3 $$"

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?

487 0

  • 1
    340(3 + √3)
    Correct
    Wrong
  • 2
    310(3 - √3)
    Correct
    Wrong
  • 3
    310(3 + √3)
    Correct
    Wrong
  • 4
    340(3 - √3)
    Correct
    Wrong
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Answer : 1. "340(3 + √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:

430 0

  • 1
    120 √3 m
    Correct
    Wrong
  • 2
    180 √3 m
    Correct
    Wrong
  • 3
    180 m
    Correct
    Wrong
  • 4
    240 m
    Correct
    Wrong
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Answer : 4. "240 m"

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:

491 0

  • 1
    120(2-√3)
    Correct
    Wrong
  • 2
    120(√3-1)
    Correct
    Wrong
  • 3
    80(√3-1)
    Correct
    Wrong
  • 4
    80(2-√3)
    Correct
    Wrong
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Answer : 4. "80(2-√3)"

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