Height and Distance Questions Practice Question and Answer

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?

1554 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:

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:

1553 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:

The shadow of a tower when the angle of elevation of the sun is 45 °, is found to be 10 m longer that when it was 60 °. The height of the tower is 

1548 0

  • 1
    10(√3-1) m
    Correct
    Wrong
  • 2
    10(√3+1) m
    Correct
    Wrong
  • 3
    5(√3-1) m
    Correct
    Wrong
  • 4
    5(3+√3) m
    Correct
    Wrong
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Answer : 4. "5(3+√3) m "

Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30o. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

1545 0

  • 1
    $$ {210\sqrt{3}}$$
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    $$ {240\sqrt{3}}$$
    Correct
    Wrong
  • 4
    210
    Correct
    Wrong
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Answer : 4. "210"

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

1531 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:

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

1525 0

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

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:

1515 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:

A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.

1512 0

  • 1
    $$ {10\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 2
    $$ {20 \sqrt{3}}\over{3}$$
    Correct
    Wrong
  • 3
    $$ {10\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {20\sqrt{3}}$$
    Correct
    Wrong
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Answer : 3. "$$ {10\sqrt{3}}$$"

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