Height and Distance Questions Practice Question and Answer

Q:

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

927 0

  • 1
    6 m
    Correct
    Wrong
  • 2
    8 √3 m
    Correct
    Wrong
  • 3
    8 m
    Correct
    Wrong
  • 4
    6√3 m
    Correct
    Wrong
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Answer : 2. "8 √3 m "

Q:

The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-

918 0

  • 1
    5√3
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    10√3
    Correct
    Wrong
  • 4
    20√3
    Correct
    Wrong
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Answer : 3. "10√3"

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Answer : 2. ""

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Answer : 3. "48"

Q:

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

828 0

  • 1
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$
    Correct
    Wrong
  • 4
    48
    Correct
    Wrong
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Answer : 4. "48"

Q:

An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:

800 0

  • 1
    26.8
    Correct
    Wrong
  • 2
    27.6
    Correct
    Wrong
  • 3
    26.2
    Correct
    Wrong
  • 4
    25.8
    Correct
    Wrong
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Answer : 2. "27.6"

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.

718 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:

Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 300 and 600. If the ships are m apart, then find the height of the light house (in m).

661 0

  • 1
    175.4
    Correct
    Wrong
  • 2
    165.2
    Correct
    Wrong
  • 3
    172.5
    Correct
    Wrong
  • 4
    180.5
    Correct
    Wrong
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Answer : 3. "172.5 "

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