Height and Distance Questions Practice Question and Answer

Q:

An Aeroplan is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°, If point X is on ground, then what is the speed (in km / hr.) of Aeroplan? 

1259 0

  • 1
    201√3
    Correct
    Wrong
  • 2
    305√3
    Correct
    Wrong
  • 3
    216√3
    Correct
    Wrong
  • 4
    105√3
    Correct
    Wrong
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Answer : 3. "216√3 "

Q:

The shadow of a tower standing on a level plane is found to be 30 metre longer when the Sun's altitude changes from 60 ° to 45 °. The height of the tower is 

1259 0

  • 1
    15 (√3-1) m
    Correct
    Wrong
  • 2
    15 (3-√3) m
    Correct
    Wrong
  • 3
    15 (3+√3) m
    Correct
    Wrong
  • 4
    15 (3-√3) m
    Correct
    Wrong
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Answer : 3. "15 (3+√3) 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:

1257 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:

A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is 

1231 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    65 m
    Correct
    Wrong
  • 4
    70 m
    Correct
    Wrong
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Answer : 2. "60 m "

Q:

From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is

1218 0

  • 1
    125√3
    Correct
    Wrong
  • 2
    125(√3-1)
    Correct
    Wrong
  • 3
    125/(√3-1)
    Correct
    Wrong
  • 4
    125/(√3+1)
    Correct
    Wrong
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Answer : 2. "125(√3-1) "

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; 

1210 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:

The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is 

1200 0

  • 1
    30(√3+1) m
    Correct
    Wrong
  • 2
    30(√3-1) m
    Correct
    Wrong
  • 3
    20(√3+1) m
    Correct
    Wrong
  • 4
    24(√3+1) m
    Correct
    Wrong
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Answer : 1. "30(√3+1) m "

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 

1199 0

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

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