Height and Distance Questions Practice Question and Answer

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 

1188 0

  • 1
    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:

There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is; 

1178 0

  • 1
    36√3 m
    Correct
    Wrong
  • 2
    18√3 m
    Correct
    Wrong
  • 3
    18 m
    Correct
    Wrong
  • 4
    36 m
    Correct
    Wrong
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Answer : 4. "36 m"

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 

1175 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 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

1158 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 the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.

1158 0

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

Q:

The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is 

1158 0

  • 1
    50 √ 3 m
    Correct
    Wrong
  • 2
    m
    Correct
    Wrong
  • 3
    75 √3 m
    Correct
    Wrong
  • 4
    m
    Correct
    Wrong
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Answer : 2. " m"

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. 

1157 0

  • 1
    √3
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    Correct
    Wrong
  • 4
    3 m
    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 

1154 0

  • 1
    √13 meters
    Correct
    Wrong
  • 2
    3 meters
    Correct
    Wrong
  • 3
    √3 meters
    Correct
    Wrong
  • 4
    13 meters
    Correct
    Wrong
  • Show Answer
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Answer : 4. "13 meters "

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