Height and Distance Questions Practice Question and Answer

Q:

The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is 

1219 0

  • 1
    5 ( √3 + 1 ) meters
    Correct
    Wrong
  • 2
    5 ( √3 - 1 ) meters
    Correct
    Wrong
  • 3
    5√3 meters
    Correct
    Wrong
  • 4
    $$ {5\over √3} meters $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "5 ( √3 + 1 ) meters "

Q:

The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-

1243 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    75 m
    Correct
    Wrong
  • 3
    60 m
    Correct
    Wrong
  • 4
    65 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "72 m"

Q:

The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is 

1013 0

  • 1
    50 √ 3 m
    Correct
    Wrong
  • 2
    $$ 50\over √3$$ m
    Correct
    Wrong
  • 3
    75 √3 m
    Correct
    Wrong
  • 4
    $$ 75\over √3$$ m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ 50\over √3$$ m"

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) 

1160 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
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "5.464 m"

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 

1028 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:

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

828 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
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "$$ {20\over √3} m $$ "

Q:

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

818 0

  • 1
    6 m
    Correct
    Wrong
  • 2
    8 √3 m
    Correct
    Wrong
  • 3
    8 m
    Correct
    Wrong
  • 4
    6√3 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "8 √3 m "

  • Show AnswerHide Answer
  • Workspace

Answer : 4. "12 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