NIMCET Previous Year Questions (PYQs) – Heights And Distances – Page 1 of 2
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A line segment AB of length 10 meters is passing through the foot of the perpendicular of a pillar, which is standing at right angle to the ground. Top of the pillar subtends angles
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A man observes the angle of elevation of the top of mountain to be 30o. He walks 1000 feet nearer and
finds the angle of elevation to be
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Angles of elevation of the top of a tower from
three points (collinear) A, B and C on a road
leading to the foot of the tower are 30°, 45°
and 60° respectively. The ratio of AB and BC is
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If the angle of elevation of the top of a hill
from each of the vertices A, B and C of a
horizontal triangle is
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A tower subtends angles
horizontal line through the foot of the tower. Then
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The angles of depression of the top and bottom of an 8m tall building from the top of a multi storied building are 30° and 45°, respectively. What is the height of the multistoried building
and the distance between the two buildings?
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An airplane, when 4000m high from the ground, passes vertically above another airplane at
an instant when the angles of elevation of the two airplanes from the same point on the
ground are 60° and 30°, respectively. Find the vertical distance between the two airplanes.
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A tower subtends an angle of 30° at a point on the same level as the foot of the tower. At a
second point h meters above the first, the depression of the foot of the tower is 60°. What is
the horizontal distance of the tower from the point?
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From three collinear points A, B and C on a level ground, which are on the same side of a tower, the angles of elevation of the top of the tower are 30°, 45° and 60° respectively. If BC = 60 m, then AB is:
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Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of
the top of the lighthouse is observed from the ships are 30° degree and 45° repectively.
If the lighthouse is 100 m high, the distance between the two ships is
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