Height and Distance Questions Practice Question and Answer

Q:

From the peak of a hill which is 300m high, the angle of depression of two sides of a bridge lying on a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is 

2281 0

  • 1
    300√3 m
    Correct
    Wrong
  • 2
    $${300\over√3}m $$
    Correct
    Wrong
  • 3
    300(√3-1) m
    Correct
    Wrong
  • 4
    300(√3+1) m
    Correct
    Wrong
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Answer : 3. "300(√3-1) m "

Q:

If the length of a shadow of a pole on a level ground is twice the length of that pole, the angle of elevation of the sun is:-

2099 0

  • 1
    30°
    Correct
    Wrong
  • 2
    45°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 4. "None of these"

Q:

The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport.

1878 0

  • 1
    866 Meter
    Correct
    Wrong
  • 2
    856 Meter
    Correct
    Wrong
  • 3
    800 Meter
    Correct
    Wrong
  • 4
    500 Meter
    Correct
    Wrong
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Answer : 1. "866 Meter"

Q:

The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?

1853 0

  • 1
    16 m
    Correct
    Wrong
  • 2
    20√ 3 m
    Correct
    Wrong
  • 3
    20 m
    Correct
    Wrong
  • 4
    30 m
    Correct
    Wrong
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Answer : 2. "20√ 3 m"

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.

1826 0

  • 1
    120 metres
    Correct
    Wrong
  • 2
    210 metres
    Correct
    Wrong
  • 3
    140 metres
    Correct
    Wrong
  • 4
    70 metres
    Correct
    Wrong
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Answer : 3. "140 metres"

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Answer : 4. "12 m "

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Answer : 3. "40 m"

Q:

A tower is broken at a point P above the ground. The top of the tower makes an angle 60 ° with the ground at Q. From another point R on the opposite side of Q angle of elevation of point P is 30 °. If QR = 180 m, then what is the total height (in meters ) of the tower ? 

1770 0

  • 1
    45(√3+1)
    Correct
    Wrong
  • 2
    45(√3+2)
    Correct
    Wrong
  • 3
    90
    Correct
    Wrong
  • 4
    45√3
    Correct
    Wrong
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Answer : 2. "45(√3+2)"

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