Height and Distance Questions Practice Question and Answer

Q:

There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is; 

1441 0

  • 1
    36√3 m
    Correct
    Wrong
  • 2
    18√3 m
    Correct
    Wrong
  • 3
    18 m
    Correct
    Wrong
  • 4
    36 m
    Correct
    Wrong
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Answer : 4. "36 m"

Q:

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

1434 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 4. "30"

Q:

The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is 

1428 0

  • 1
    √13 meters
    Correct
    Wrong
  • 2
    3 meters
    Correct
    Wrong
  • 3
    √3 meters
    Correct
    Wrong
  • 4
    13 meters
    Correct
    Wrong
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Answer : 4. "13 meters "

Q:

The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is; 

1428 0

  • 1
    24√2 meter
    Correct
    Wrong
  • 2
    96 meter
    Correct
    Wrong
  • 3
    25√3 meter
    Correct
    Wrong
  • 4
    24 meter
    Correct
    Wrong
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Answer : 4. "24 meter"

Q:

If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be 

1424 0

  • 1
    $$ √3\over 2 km $$
    Correct
    Wrong
  • 2
    $$ 1\over 2 km $$
    Correct
    Wrong
  • 3
    $$ 2\over √3$$
    Correct
    Wrong
  • 4
    3√3
    Correct
    Wrong
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Answer : 1. "$$ √3\over 2 km $$ "

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?

1418 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 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 

1413 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 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 

1406 0

  • 1
    400√3m
    Correct
    Wrong
  • 2
    $${400\over√3}m $$
    Correct
    Wrong
  • 3
    $$200+{200\over√3}m $$
    Correct
    Wrong
  • 4
    $$200-{200\over√3}m $$
    Correct
    Wrong
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Answer : 3. "$$200+{200\over√3}m $$"

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