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) 

1535 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"

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Answer : 3. "40 m"

Q:

The angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 ° and 30 ° respectively. Height of the flag is [ taking 13 = 1.732) 

1522 0

  • 1
    14.32 m
    Correct
    Wrong
  • 2
    12.68 m
    Correct
    Wrong
  • 3
    12 √3 m
    Correct
    Wrong
  • 4
    15 m
    Correct
    Wrong
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Answer : 2. "12.68 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) 

1521 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"

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Answer : 1. "45 km/h "

Q:

The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?

1493 0

  • 1
    16 m
    Correct
    Wrong
  • 2
    20√ 3 m
    Correct
    Wrong
  • 3
    20 m
    Correct
    Wrong
  • 4
    30 m
    Correct
    Wrong
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Answer : 2. "20√ 3 m"

Q:

From the top of an upright pole feet high, the angle of elevation of the top of an upright tower was 600. If the foot of the pole was 60 feet away from the foot of the tower, what tall (in feet) was the tower?

1446 0

  • 1
    Correct
    Wrong
  • 2
    Correct
    Wrong
  • 3
    Correct
    Wrong
  • 4
    Correct
    Wrong
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Answer : 1. ""

Q:

An Aeroplan flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 60 °. After 15 sec flight, its angle of elevation is changed to 30 °. The speed of the Aeroplan (taking √3 = 1.732) 

1424 0

  • 1
    235.93 m/sec.
    Correct
    Wrong
  • 2
    236.25 m/sec.
    Correct
    Wrong
  • 3
    230.63 m/sec.
    Correct
    Wrong
  • 4
    230.93 m/sec.
    Correct
    Wrong
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Answer : 4. "230.93 m/sec. "

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