Height and Distance Questions Practice Question and Answer

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 distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long? 

1565 0

  • 1
    35 √3
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    50 √3 m
    Correct
    Wrong
  • 4
    80 m
    Correct
    Wrong
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Answer : 2. "60 m "

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 

1561 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 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 

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  • 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. "$$\sqrt{ab}\ $$"

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

1555 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:

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 

1553 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:

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 

1548 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:

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__

1542 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"

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