Height and Distance Questions Practice Question and Answer

Q:

There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is; 

1040 0

  • 1
    36√3 m
    Correct
    Wrong
  • 2
    18√3 m
    Correct
    Wrong
  • 3
    18 m
    Correct
    Wrong
  • 4
    36 m
    Correct
    Wrong
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Answer : 4. "36 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 

938 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:

If the length of a shadow of a pole on a level ground is twice the length of that pole, the angle of elevation of the sun is:-

1723 0

  • 1
    30°
    Correct
    Wrong
  • 2
    45°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 4. "None of these"

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 

889 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. "$$ P= {S\over{Cotθ}}$$"

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

863 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 shadow of a tower, when the angle of elevation of the sun is 60° is found to be 15 m shorter than when it is 45°. Then height of the tower is 

1085 0

  • 1
    41.5 m
    Correct
    Wrong
  • 2
    35.5 m
    Correct
    Wrong
  • 3
    26.5m
    Correct
    Wrong
  • 4
    20.5m
    Correct
    Wrong
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Answer : 2. "35.5 m "

Q:

The angle of elevation of the sun, when the length of the shadow  of a tree √3 times the height of the tree, is:

948 0

  • 1
    $$ {30^0}$$
    Correct
    Wrong
  • 2
    $$ {45^0}$$
    Correct
    Wrong
  • 3
    $$ {60^0}$$
    Correct
    Wrong
  • 4
    $$ {90^0}$$
    Correct
    Wrong
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Answer : 1. "$$ {30^0}$$"

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:

927 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"

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