Height and Distance Questions Practice Question and Answer

Q:

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

1586 0

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

1582 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:

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 

1556 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:

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 

1555 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:

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is 

1552 0

  • 1
    13 min 40 sec
    Correct
    Wrong
  • 2
    14 min 24 sec
    Correct
    Wrong
  • 3
    12 min 20 sec
    Correct
    Wrong
  • 4
    13 min
    Correct
    Wrong
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Answer : 1. "13 min 40 sec "

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

1545 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:

A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip? 

1536 0

  • 1
    30 (√3-1) ft
    Correct
    Wrong
  • 2
    18 (√3-1) ft
    Correct
    Wrong
  • 3
    10 (√3-1) ft
    Correct
    Wrong
  • 4
    20 (√3-1) ft
    Correct
    Wrong
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Answer : 3. "10 (√3-1) ft "

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; 

1519 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"

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