Height and Distance Questions Practice Question and Answer

Q:

An earthing wire connected to the top of an electricity pole has its other end inside the ground. The foot of the wire is 1.5 m away from the pole and the wire is making an angle of 60° with the level of the ground. Determine the height of pole. 

1284 0

  • 1
    √3
    Correct
    Wrong
  • 2
    $${√3\over2}m$$
    Correct
    Wrong
  • 3
    $${3√3\over2}m$$
    Correct
    Wrong
  • 4
    3 m
    Correct
    Wrong
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Answer : 3. "$${3√3\over2}m$$"

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

1283 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:

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?

1283 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 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 

1281 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:

The distance between the tops of two building 38 metres and 58 metres and high is 52 metres. What will be the distance (in metres) between two building?

1275 0

  • 1
    42
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    44
    Correct
    Wrong
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Answer : 3. "48"

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:

1274 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:

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 ) 

1272 0

  • 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:

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?

1268 0

  • 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"

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