Height and Distance Questions Practice Question and Answer

Q:

The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is 

681 0

  • 1
    10(√3-1) m
    Correct
    Wrong
  • 2
    10(√3+1) m
    Correct
    Wrong
  • 3
    5(√3-1) m
    Correct
    Wrong
  • 4
    5(3+√3) m
    Correct
    Wrong
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Answer : 4. "5(3+√3) m "

Q:

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is

675 0

  • 1
    10 √ 3 m
    Correct
    Wrong
  • 2
    20 √ 3 m
    Correct
    Wrong
  • 3
    $$ {10\over √3} m $$
    Correct
    Wrong
  • 4
    $$ {20\over √3} m $$
    Correct
    Wrong
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Answer : 4. "$$ {20\over √3} m $$ "

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Answer : 1. "3: 1"

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? 

658 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:

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 

654 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:

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

654 0

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

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?

653 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"

Q:

A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__

650 0

  • 1
    60 cm
    Correct
    Wrong
  • 2
    80 cm
    Correct
    Wrong
  • 3
    40 cm
    Correct
    Wrong
  • 4
    100 cm
    Correct
    Wrong
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Answer : 2. "80 cm"

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