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 30°. If the tower is 100 meter high, the distance of point P from the foot of the tower is:

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  • 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 the elevation of sun is θ and the length of the shadow of a pole of length P is S, then 

949 0

  • 1
    P=Scosθ
    Correct
    Wrong
  • 2
    P = S sinθ
    Correct
    Wrong
  • 3
    $$ P= {S\over{Cotθ}}$$
    Correct
    Wrong
  • 4
    P=S cotθ
    Correct
    Wrong
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Answer : 3. "$$ P= {S\over{Cotθ}}$$"

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Answer : 1. "3: 1"

Q:

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :

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  • 1
    $$ {9\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 2
    $$ {3\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 3
    $$ {3\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
  • 4
    $$ {9\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"

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.

916 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. "$$ {10\sqrt{3}}$$"

Q:

The top of two poles of height 24 m and 42 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is

915 0

  • 1
    $$12\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$18\sqrt{3}$$
    Correct
    Wrong
  • 3
    $$16\sqrt{3}$$
    Correct
    Wrong
  • 4
    $$24\sqrt{3}$$
    Correct
    Wrong
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Answer : 1. "$$12\sqrt{3}$$"

Q:

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is

910 0

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

Q:

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 °. The height of this cliff is 

909 0

  • 1
    43√3 metre
    Correct
    Wrong
  • 2
    47 √3 metre
    Correct
    Wrong
  • 3
    50 √3 metre
    Correct
    Wrong
  • 4
    45 √3 metre
    Correct
    Wrong
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Answer : 1. "43√3 metre "

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