Height and Distance Questions Practice Question and Answer

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

646 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:

If the angle of elevation of the Sun changes from 30 ° to 45 °, the length of the shadow of a pillar decreases by 20 meters. The height of the pillar is 

643 0

  • 1
    10 ( √3-1 ) m
    Correct
    Wrong
  • 2
    1 ( √3 + 1 ) m
    Correct
    Wrong
  • 3
    20 ( √3-1) m
    Correct
    Wrong
  • 4
    20 (√3 + 1) m
    Correct
    Wrong
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Answer : 2. "1 ( √3 + 1 ) 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?

641 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 top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

639 0

  • 1
    6 m
    Correct
    Wrong
  • 2
    8 √3 m
    Correct
    Wrong
  • 3
    8 m
    Correct
    Wrong
  • 4
    6√3 m
    Correct
    Wrong
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Answer : 2. "8 √3 m "

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? 

636 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 

633 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:

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:

630 0

  • 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:

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 

625 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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