Height and Distance Questions Practice Question and Answer

Q:

A tower is broken at a point P above the ground. The top of the tower makes an angle 60 ° with the ground at Q. From another point R on the opposite side of Q angle of elevation of point P is 30 °. If QR = 180 m, then what is the total height (in meters ) of the tower ? 

1824 0

  • 1
    45(√3+1)
    Correct
    Wrong
  • 2
    45(√3+2)
    Correct
    Wrong
  • 3
    90
    Correct
    Wrong
  • 4
    45√3
    Correct
    Wrong
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Answer : 2. "45(√3+2)"

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 

1786 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:

An observer on the top of a mountain, 500 m above the sea level, observes the angles of depression of the two boats in his same place vision to be 45 ° and 30 ° respectively. Then the distance between the boats, if the boats are on the same side of the mountain, is 

1785 0

  • 1
    366 m
    Correct
    Wrong
  • 2
    699 m
    Correct
    Wrong
  • 3
    456 m
    Correct
    Wrong
  • 4
    584 m
    Correct
    Wrong
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Answer : 1. "366 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) 

1784 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:

From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?

1771 0

  • 1
    $$40\sqrt {3} $$
    Correct
    Wrong
  • 2
    $${151\sqrt {3}}\over 6 $$
    Correct
    Wrong
  • 3
    $${77\over 4}\sqrt {3}$$
    Correct
    Wrong
  • 4
    $${40\sqrt {3}}\over 3 $$
    Correct
    Wrong
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Answer : 4. "$${40\sqrt {3}}\over 3 $$"

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) 

1763 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 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-

1743 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    75 m
    Correct
    Wrong
  • 3
    60 m
    Correct
    Wrong
  • 4
    65 m
    Correct
    Wrong
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Answer : 1. "72 m"

Q:

From the top of an upright pole $$24\sqrt { 3} $$ 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?

1732 0

  • 1
    $$84\sqrt { 3} $$
    Correct
    Wrong
  • 2
    $$36\sqrt { 3} $$
    Correct
    Wrong
  • 3
    $$44\sqrt { 3} $$
    Correct
    Wrong
  • 4
    $$60\sqrt { 3} $$
    Correct
    Wrong
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Answer : 1. "$$84\sqrt { 3} $$"

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