Height and Distance Questions Practice Question and Answer

Q:

A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is

772 0

  • 1
    15 m
    Correct
    Wrong
  • 2
    18 m
    Correct
    Wrong
  • 3
    16 m
    Correct
    Wrong
  • 4
    11 m
    Correct
    Wrong
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Answer : 2. "18 m"

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Answer : 2. "103.92"

Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30o. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

759 0

  • 1
    $$ {210\sqrt{3}}$$
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    $$ {240\sqrt{3}}$$
    Correct
    Wrong
  • 4
    210
    Correct
    Wrong
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Answer : 4. "210"

Q:

The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is

759 0

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

Q:

The angle of elevation of sun changes from 30 ° to 45 °, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

755 0

  • 1
    3.648 m
    Correct
    Wrong
  • 2
    5.464 m
    Correct
    Wrong
  • 3
    1.464 m
    Correct
    Wrong
  • 4
    9.464 m
    Correct
    Wrong
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Answer : 2. "5.464 m"

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 

753 0

  • 1
    $$ {13\over √3} meters $$
    Correct
    Wrong
  • 2
    13 meters
    Correct
    Wrong
  • 3
    15 meters
    Correct
    Wrong
  • 4
    3. 25 meters
    Correct
    Wrong
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Answer : 2. "13 meters "

Q:

The shadow of a tower, when the angle of elevation of the sun is 60° is found to be 15 m shorter than when it is 45°. Then height of the tower is 

751 0

  • 1
    41.5 m
    Correct
    Wrong
  • 2
    35.5 m
    Correct
    Wrong
  • 3
    26.5m
    Correct
    Wrong
  • 4
    20.5m
    Correct
    Wrong
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Answer : 2. "35.5 m "

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 

750 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 "

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