Height and Distance Questions Practice Question and Answer

Q:

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

815 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 4. "30"

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?

604 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:

If the angle of elevation of the sun changes from 30to 45o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:

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  • 1
    $$ {20(\sqrt{3}-1)}\ meter$$
    Correct
    Wrong
  • 2
    $$ {20(\sqrt{3}+1)}\ meter$$
    Correct
    Wrong
  • 3
    $$ {10(\sqrt{3}-1)}\ meter$$
    Correct
    Wrong
  • 4
    $$ {10(\sqrt{3}+1)}\ meter$$
    Correct
    Wrong
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Answer : 4. "$$ {10(\sqrt{3}+1)}\ meter$$"

Q:

An aero plane flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 600. After 15 sec flight, its angle of elevation is changed to 300. The speed of the aero plane (taking √3=1.732)

215 0

  • 1
    230.63 m/sec
    Correct
    Wrong
  • 2
    230.93 m/sec
    Correct
    Wrong
  • 3
    235.85 m/sec
    Correct
    Wrong
  • 4
    236.25 m/sec
    Correct
    Wrong
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Answer : 2. "230.93 m/sec"

Q:

If the angel of elevation of the sun decreases from 450 to 300, then the length of the shadow of a pillar increase by 60 m. The height of the pillar is

206 0

  • 1
    60(√3+1) m
    Correct
    Wrong
  • 2
    30(√3-1) m
    Correct
    Wrong
  • 3
    30(√3+1) m
    Correct
    Wrong
  • 4
    60(√3-1) m
    Correct
    Wrong
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Answer : 3. "30(√3+1) m"

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