Height and Distance Questions Practice Question and Answer

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 

1061 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:

From a point P on a level ground, the angle of elevation of the top tower is 30o.If the tower is 100 m high, the distance of point P from the foot of the tower is:

909 0

  • 1
    149 m
    Correct
    Wrong
  • 2
    156 m
    Correct
    Wrong
  • 3
    173 m
    Correct
    Wrong
  • 4
    200 m
    Correct
    Wrong
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Answer : 3. "173 m"

Q:

From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732) 

984 1

  • 1
    10 √3 m
    Correct
    Wrong
  • 2
    7.32 m
    Correct
    Wrong
  • 3
    10 (√30+2) m
    Correct
    Wrong
  • 4
    10 (√30+1) m
    Correct
    Wrong
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Answer : 2. "7.32 m"

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

981 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 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

1095 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 a tower from a distance 50 m from its foot is 30°. The height of the tower is 

1013 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 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-

1243 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 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 

918 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. "$$200+{200\over√3}m $$"

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