Height and Distance Questions Practice Question and Answer

Q:

A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its feet and makes an angle of 30 ° with the horizontal. The height (in metre) of the post is 

1099 0

  • 1
    18
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 2. "24"

Q:

A 1.6 m tall observer is 45 metres away from a tower. The angle of elevation from his eye to the top of the tower is 30 °, then the height of the tower in metres is ( Take √3 = 1.732 ) 

1089 0

  • 1
    27.58
    Correct
    Wrong
  • 2
    27.98
    Correct
    Wrong
  • 3
    25.98
    Correct
    Wrong
  • 4
    26.58
    Correct
    Wrong
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Answer : 1. "27.58 "

Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is 

1079 0

  • 1
    400√3m
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 3. ""

Q:

The distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long? 

1070 0

  • 1
    35 √3
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    50 √3 m
    Correct
    Wrong
  • 4
    80 m
    Correct
    Wrong
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Answer : 2. "60 m "

Q:

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?

1067 0

  • 1
    10 m
    Correct
    Wrong
  • 2
    17.32 m
    Correct
    Wrong
  • 3
    34.64 m
    Correct
    Wrong
  • 4
    30 m
    Correct
    Wrong
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Answer : 1. "10 m"

Q:

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-

1063 0

  • 1
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 4. ""

Q:

The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?

1063 0

  • 1
    25 meter
    Correct
    Wrong
  • 2
    37.5 meter
    Correct
    Wrong
  • 3
    50 meter
    Correct
    Wrong
  • 4
    60 meter
    Correct
    Wrong
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Answer : 3. "50 meter"

Q:

A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is

1054 0

  • 1
    500 √3
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    100√3
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 3. "100√3 "

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