Height and Distance Questions Practice Question and Answer

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?

650 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"

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Answer : 3. "48"

Q:

An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:

476 0

  • 1
    26.8
    Correct
    Wrong
  • 2
    27.6
    Correct
    Wrong
  • 3
    26.2
    Correct
    Wrong
  • 4
    25.8
    Correct
    Wrong
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Answer : 2. "27.6"

Q:

From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.

818 0

  • 1
    h (Cot B +Cot A)
    Correct
    Wrong
  • 2
    h (tanB +tanA)
    Correct
    Wrong
  • 3
    h (tanA - tan B)
    Correct
    Wrong
  • 4
    h(cot B-cotA)
    Correct
    Wrong
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Answer : 1. "h (Cot B +Cot A)"

Q:

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :

494 0

  • 1
    $$ {9\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 2
    $$ {3\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 3
    $$ {3\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
  • 4
    $$ {9\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"

Q:

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

512 0

  • 1
    $$ {48\sqrt{3}}$$
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$
    Correct
    Wrong
  • 4
    48
    Correct
    Wrong
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Answer : 4. "48"

Q:

A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be 

629 0

  • 1
    142 m
    Correct
    Wrong
  • 2
    140 m
    Correct
    Wrong
  • 3
    139 m
    Correct
    Wrong
  • 4
    138 m
    Correct
    Wrong
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Answer : 1. "142 m"

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.

903 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"

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