Height and Distance Questions Practice Question and Answer

Q:

From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732) 

995 1

  • 1
    10 √3 m
    Correct
    Wrong
  • 2
    7.32 m
    Correct
    Wrong
  • 3
    10 (√30+2) m
    Correct
    Wrong
  • 4
    10 (√30+1) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "7.32 m"

Q:

The shadow of a tower standing on a level plane is found to be 30 metre longer when the Sun's altitude changes from 60 ° to 45 °. The height of the tower is 

1092 0

  • 1
    15 (√3-1) m
    Correct
    Wrong
  • 2
    15 (3-√3) m
    Correct
    Wrong
  • 3
    15 (3+√3) m
    Correct
    Wrong
  • 4
    15 (3-√3) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "15 (3+√3) m "

Q:

From the peak of a hill which is 300m high, the angle of depression of two sides of a bridge lying on a ground are 45° and 30° (both ends of the bridge are on the same side of the hill). Then the length of the bridge is 

1699 0

  • 1
    300√3 m
    Correct
    Wrong
  • 2
    $${300\over√3}m $$
    Correct
    Wrong
  • 3
    300(√3-1) m
    Correct
    Wrong
  • 4
    300(√3+1) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "300(√3-1) m "

Q:

The angle of elevation of sun changes from 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) 

997 0

  • 1
    3.648 m
    Correct
    Wrong
  • 2
    5.464 m
    Correct
    Wrong
  • 3
    1.464 m
    Correct
    Wrong
  • 4
    9.464 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "5.464 m"

Q:

A pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ∆ABC, the foot of the pole is at the 

1476 0

  • 1
    incentre
    Correct
    Wrong
  • 2
    orthocenter
    Correct
    Wrong
  • 3
    centroid
    Correct
    Wrong
  • 4
    circumcenter
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "circumcenter "

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 

1043 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:

The angle of elevation of the top of a tower from the point P and Q at distance of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary . The height of the tower is 

905 0

  • 1
    $$ab$$
    Correct
    Wrong
  • 2
    $$a^2b^2$$
    Correct
    Wrong
  • 3
    $$\sqrt{ab}\ $$
    Correct
    Wrong
  • 4
    $$\sqrt{a^2b}\ $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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

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; 

1076 0

  • 1
    24√2 meter
    Correct
    Wrong
  • 2
    96 meter
    Correct
    Wrong
  • 3
    25√3 meter
    Correct
    Wrong
  • 4
    24 meter
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "24 meter"

      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