Height and Distance Questions Practice Question and Answer

Q:

The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-

2173 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    75 m
    Correct
    Wrong
  • 3
    60 m
    Correct
    Wrong
  • 4
    65 m
    Correct
    Wrong
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Answer : 1. "72 m"

Q:

A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is

2164 0

  • 1
    15 m
    Correct
    Wrong
  • 2
    18 m
    Correct
    Wrong
  • 3
    16 m
    Correct
    Wrong
  • 4
    11 m
    Correct
    Wrong
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Answer : 2. "18 m"

Q:

The angle of elevation of the sun, when the length of the shadow  of a tree √3 times the height of the tree, is:

2164 0

  • 1
    $$ {30^0}$$
    Correct
    Wrong
  • 2
    $$ {45^0}$$
    Correct
    Wrong
  • 3
    $$ {60^0}$$
    Correct
    Wrong
  • 4
    $$ {90^0}$$
    Correct
    Wrong
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Answer : 1. "$$ {30^0}$$"

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Answer : 2. "103.92"

Q:

The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is 

2077 0

  • 1
    5 ( √3 + 1 ) meters
    Correct
    Wrong
  • 2
    5 ( √3 - 1 ) meters
    Correct
    Wrong
  • 3
    5√3 meters
    Correct
    Wrong
  • 4
    $$ {5\over √3} meters $$
    Correct
    Wrong
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Answer : 1. "5 ( √3 + 1 ) meters "

Q:

An Aeroplan flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 60 °. After 15 sec flight, its angle of elevation is changed to 30 °. The speed of the Aeroplan (taking √3 = 1.732) 

2042 0

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

Q:

The shadow of a tower, when the angle of elevation of the sun is 60° is found to be 15 m shorter than when it is 45°. Then height of the tower is 

2029 0

  • 1
    41.5 m
    Correct
    Wrong
  • 2
    35.5 m
    Correct
    Wrong
  • 3
    26.5m
    Correct
    Wrong
  • 4
    20.5m
    Correct
    Wrong
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Answer : 2. "35.5 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 

2014 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"

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