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) 

984 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
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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 

1069 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
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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 

1682 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
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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) 

981 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
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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 

1460 0

  • 1
    incentre
    Correct
    Wrong
  • 2
    orthocenter
    Correct
    Wrong
  • 3
    centroid
    Correct
    Wrong
  • 4
    circumcenter
    Correct
    Wrong
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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 

1022 0

  • 1
    √13 meters
    Correct
    Wrong
  • 2
    3 meters
    Correct
    Wrong
  • 3
    √3 meters
    Correct
    Wrong
  • 4
    13 meters
    Correct
    Wrong
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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 

880 0

  • 1
    $$ab$$
    Correct
    Wrong
  • 2
    $$a^2b^2$$
    Correct
    Wrong
  • 3
    $$\sqrt{ab}\ $$
    Correct
    Wrong
  • 4
    $$\sqrt{a^2b}\ $$
    Correct
    Wrong
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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; 

1054 0

  • 1
    24√2 meter
    Correct
    Wrong
  • 2
    96 meter
    Correct
    Wrong
  • 3
    25√3 meter
    Correct
    Wrong
  • 4
    24 meter
    Correct
    Wrong
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Answer : 4. "24 meter"

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