Height and Distance Questions Practice Question and Answer

Q:

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :

1781 0

  • 1
    $$ {9\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 2
    $$ {3\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 3
    $$ {3\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
  • 4
    $$ {9\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"

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; 

1773 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:

If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be 

1762 0

  • 1
    $$ √3\over 2 km $$
    Correct
    Wrong
  • 2
    $$ 1\over 2 km $$
    Correct
    Wrong
  • 3
    $$ 2\over √3$$
    Correct
    Wrong
  • 4
    3√3
    Correct
    Wrong
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Answer : 1. "$$ √3\over 2 km $$ "

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 

1748 0

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

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? 

1745 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:

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?

1740 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"

Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is 

1737 0

  • 1
    400√3m
    Correct
    Wrong
  • 2
    $${400\over√3}m $$
    Correct
    Wrong
  • 3
    $$200+{200\over√3}m $$
    Correct
    Wrong
  • 4
    $$200-{200\over√3}m $$
    Correct
    Wrong
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Answer : 3. "$$200+{200\over√3}m $$"

Q:

The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?

1727 0

  • 1
    25 meter
    Correct
    Wrong
  • 2
    37.5 meter
    Correct
    Wrong
  • 3
    50 meter
    Correct
    Wrong
  • 4
    60 meter
    Correct
    Wrong
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Answer : 3. "50 meter"

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