Height and Distance Questions Practice Question and Answer

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:

A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is

906 0

  • 1
    500 √3
    Correct
    Wrong
  • 2
    $${500\over√3}m$$
    Correct
    Wrong
  • 3
    100√3
    Correct
    Wrong
  • 4
    $${1000\over√3}m$$
    Correct
    Wrong
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Answer : 3. "100√3 "

Q:

A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__

905 0

  • 1
    60 cm
    Correct
    Wrong
  • 2
    80 cm
    Correct
    Wrong
  • 3
    40 cm
    Correct
    Wrong
  • 4
    100 cm
    Correct
    Wrong
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Answer : 2. "80 cm"

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?

892 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:

The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

889 0

  • 1
    193.22
    Correct
    Wrong
  • 2
    161.05
    Correct
    Wrong
  • 3
    144.04
    Correct
    Wrong
  • 4
    176.12
    Correct
    Wrong
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Answer : 2. "161.05"

Q:

The upper part of a tree is broken over by the wind makes an angle of 60 ° with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree? 

884 0

  • 1
    98.25
    Correct
    Wrong
  • 2
    120.24
    Correct
    Wrong
  • 3
    84.14
    Correct
    Wrong
  • 4
    93.3
    Correct
    Wrong
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Answer : 4. "93.3 "

Q:

A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be 

882 0

  • 1
    142 m
    Correct
    Wrong
  • 2
    140 m
    Correct
    Wrong
  • 3
    139 m
    Correct
    Wrong
  • 4
    138 m
    Correct
    Wrong
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Answer : 1. "142 m"

Q:

The angle of elevation of the top of a tower from the point P and Q at distance of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary . The height of the tower is 

880 0

  • 1
    $$ab$$
    Correct
    Wrong
  • 2
    $$a^2b^2$$
    Correct
    Wrong
  • 3
    $$\sqrt{ab}\ $$
    Correct
    Wrong
  • 4
    $$\sqrt{a^2b}\ $$
    Correct
    Wrong
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Answer : 3. "$$\sqrt{ab}\ $$"

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