Height and Distance Questions Practice Question and Answer

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?

1318 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:

The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is 

1317 0

  • 1
    √13 meters
    Correct
    Wrong
  • 2
    3 meters
    Correct
    Wrong
  • 3
    √3 meters
    Correct
    Wrong
  • 4
    13 meters
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "13 meters "

Q:

If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be 

1315 0

  • 1
    $$ √3\over 2 km $$
    Correct
    Wrong
  • 2
    $$ 1\over 2 km $$
    Correct
    Wrong
  • 3
    $$ 2\over √3$$
    Correct
    Wrong
  • 4
    3√3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ √3\over 2 km $$ "

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; 

1315 0

  • 1
    36√3 m
    Correct
    Wrong
  • 2
    18√3 m
    Correct
    Wrong
  • 3
    18 m
    Correct
    Wrong
  • 4
    36 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "36 m"

Q:

A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its feet and makes an angle of 30 ° with the horizontal. The height (in metre) of the post is 

1313 0

  • 1
    18
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "24"

Q:

The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is 

1308 0

  • 1
    $$ {13\over √3} meters $$
    Correct
    Wrong
  • 2
    13 meters
    Correct
    Wrong
  • 3
    15 meters
    Correct
    Wrong
  • 4
    3. 25 meters
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "13 meters "

Q:

The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.

1308 0

  • 1
    $$70 \sqrt { 3} $$m
    Correct
    Wrong
  • 2
    $$60 \sqrt { 3} $$m
    Correct
    Wrong
  • 3
    $$50 \sqrt { 3} $$m
    Correct
    Wrong
  • 4
    $$70 \sqrt { 2} $$m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$70 \sqrt { 3} $$m"

Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is 

1300 0

  • 1
    400√3m
    Correct
    Wrong
  • 2
    $${400\over√3}m $$
    Correct
    Wrong
  • 3
    $$200+{200\over√3}m $$
    Correct
    Wrong
  • 4
    $$200-{200\over√3}m $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$200+{200\over√3}m $$"

      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