Height and Distance Questions Practice Question and Answer

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 

624 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
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "43√3 metre "

Q:

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?

604 0

  • 1
    10 m
    Correct
    Wrong
  • 2
    17.32 m
    Correct
    Wrong
  • 3
    34.64 m
    Correct
    Wrong
  • 4
    30 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "10 m"

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

591 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
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$12\sqrt{3}$$"

Q:

The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?

582 0

  • 1
    25 meter
    Correct
    Wrong
  • 2
    37.5 meter
    Correct
    Wrong
  • 3
    50 meter
    Correct
    Wrong
  • 4
    60 meter
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "50 meter"

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 

563 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
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$ P= {S\over{Cotθ}}$$"

  • Show AnswerHide Answer
  • Workspace

Answer : 3. "48"

Q:

A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.

553 0

  • 1
    $$ {10\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 2
    $$ {20 \sqrt{3}}\over{3}$$
    Correct
    Wrong
  • 3
    $$ {10\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {20\sqrt{3}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$ {10\sqrt{3}}$$"

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-

518 0

  • 1
    5√3
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    10√3
    Correct
    Wrong
  • 4
    20√3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "10√3"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully