Height and Distance Questions Practice Question and Answer

Q:

An observer on the top of a mountain, 500 m above the sea level, observes the angles of depression of the two boats in his same place vision to be 45 ° and 30 ° respectively. Then the distance between the boats, if the boats are on the same side of the mountain, is 

990 0

  • 1
    366 m
    Correct
    Wrong
  • 2
    699 m
    Correct
    Wrong
  • 3
    456 m
    Correct
    Wrong
  • 4
    584 m
    Correct
    Wrong
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Answer : 1. "366 m "

Q:

The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is

759 0

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

Q:

If the length of a shadow of a pole on a level ground is twice the length of that pole, the angle of elevation of the sun is:-

1291 0

  • 1
    30°
    Correct
    Wrong
  • 2
    45°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 4. "None of these"

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

686 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

772 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 

814 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-

958 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 

697 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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