Height and Distance Questions Practice Question and Answer

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__

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  • 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:

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 

1173 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 "

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 

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  • 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. "$$ P= {S\over{Cotθ}}$$"

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? 

1144 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 

1142 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 a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-

1139 0

  • 1
    5√3
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    10√3
    Correct
    Wrong
  • 4
    20√3
    Correct
    Wrong
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Answer : 3. "10√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

1137 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:

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 

1135 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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