Height and Distance Questions Practice Question and Answer

Q:

A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree 

1925 0

  • 1
    10(√3+1) m
    Correct
    Wrong
  • 2
    10(√3-1) m
    Correct
    Wrong
  • 3
    10 √3 m
    Correct
    Wrong
  • 4
    $${10√3 \over3}m$$
    Correct
    Wrong
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Answer : 3. "10 √3 m "

Q:

Two poles of equal height are standing opposite to each other on either side of a road, which is 28 metre wide. From a point between them on the road, the angle of elevation  of the top are 30° and 60°. The height of each pole is:-

1922 0

  • 1
    $$ {6{\sqrt{3}}}\ metre$$
    Correct
    Wrong
  • 2
    $$ {5{\sqrt{3}}}\ metre$$
    Correct
    Wrong
  • 3
    $$ {4{\sqrt{3}}}\ metre$$
    Correct
    Wrong
  • 4
    $$ {7{\sqrt{3}}}\ metre$$
    Correct
    Wrong
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Answer : 1. "$$ {6{\sqrt{3}}}\ metre$$"

Q:

The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

1902 0

  • 1
    1.464 m
    Correct
    Wrong
  • 2
    9.464 m
    Correct
    Wrong
  • 3
    3.648 cm
    Correct
    Wrong
  • 4
    5.464 m
    Correct
    Wrong
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Answer : 4. "5.464 m"

Q:

The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is 

1889 0

  • 1
    30(√3+1) m
    Correct
    Wrong
  • 2
    30(√3-1) m
    Correct
    Wrong
  • 3
    20(√3+1) m
    Correct
    Wrong
  • 4
    24(√3+1) m
    Correct
    Wrong
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Answer : 1. "30(√3+1) m "

Q:

The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is; 

1888 0

  • 1
    24√2 meter
    Correct
    Wrong
  • 2
    96 meter
    Correct
    Wrong
  • 3
    25√3 meter
    Correct
    Wrong
  • 4
    24 meter
    Correct
    Wrong
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Answer : 4. "24 meter"

Q:

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

1883 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 4. "30"

Q:

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is 

1870 0

  • 1
    13 min 40 sec
    Correct
    Wrong
  • 2
    14 min 24 sec
    Correct
    Wrong
  • 3
    12 min 20 sec
    Correct
    Wrong
  • 4
    13 min
    Correct
    Wrong
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Answer : 1. "13 min 40 sec "

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

1869 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"

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