Height and Distance Questions Practice Question and Answer

Q:

An earthing wire connected to the top of an electricity pole has its other end inside the ground. The foot of the wire is 1.5 m away from the pole and the wire is making an angle of 60° with the level of the ground. Determine the height of pole. 

1716 0

  • 1
    √3
    Correct
    Wrong
  • 2
    $${√3\over2}m$$
    Correct
    Wrong
  • 3
    $${3√3\over2}m$$
    Correct
    Wrong
  • 4
    3 m
    Correct
    Wrong
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Answer : 3. "$${3√3\over2}m$$"

Q:

An Aeroplan is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°, If point X is on ground, then what is the speed (in km / hr.) of Aeroplan? 

1714 0

  • 1
    201√3
    Correct
    Wrong
  • 2
    305√3
    Correct
    Wrong
  • 3
    216√3
    Correct
    Wrong
  • 4
    105√3
    Correct
    Wrong
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Answer : 3. "216√3 "

Q:

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-

1711 0

  • 1
    $$ 40 {(\sqrt{3}-1)}\ metre $$
    Correct
    Wrong
  • 2
    $$ 40 {(3+\sqrt{3})}\ metre $$
    Correct
    Wrong
  • 3
    $$ 40 {(3-\sqrt{3})}\ metre $$
    Correct
    Wrong
  • 4
    $$ 40({\sqrt{3}}+1)\ meter$$
    Correct
    Wrong
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Answer : 4. "$$ 40({\sqrt{3}}+1)\ meter$$"

Q:

Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?

1706 0

  • 1
    40
    Correct
    Wrong
  • 2
    $$ {40\sqrt{3}}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    $$ {60\sqrt{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {40\sqrt{3}}$$"

Q:

The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

1688 0

  • 1
    193.22
    Correct
    Wrong
  • 2
    161.05
    Correct
    Wrong
  • 3
    144.04
    Correct
    Wrong
  • 4
    176.12
    Correct
    Wrong
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Answer : 2. "161.05"

Q:

The distance between the tops of two building 38 metres and 58 metres and high is 52 metres. What will be the distance (in metres) between two building?

1679 0

  • 1
    42
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    44
    Correct
    Wrong
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Answer : 3. "48"

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

1678 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:

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 

1657 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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