Height and Distance Questions Practice Question and Answer

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Answer : 4. "210"

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 

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

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 

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  • 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:

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 ) 

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  • 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:

Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?

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  • 1
    40
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 2. ""

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?

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  • 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 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?

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  • 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:

From a point P on a level ground, the angle of elevation of the top tower is 30o.If the tower is 100 m high, the distance of point P from the foot of the tower is:

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  • 1
    149 m
    Correct
    Wrong
  • 2
    156 m
    Correct
    Wrong
  • 3
    173 m
    Correct
    Wrong
  • 4
    200 m
    Correct
    Wrong
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Answer : 3. "173 m"

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