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From the top of a building 16 high the a...

From the top of a building 16 high the angular elevation of the top of a hill is `60^(@)` and the angular depression of the foot of the hill is `30^(@)`, find the height of the hill.

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The correct Answer is:
64m
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From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 45^(@) .Determine the height of the tower.

Two poles of equal height are standing opposite to each other on the either side of the road which is 80 m wide. From a point P between them on road, the angle of elevation of the top of a pole is 60^(@) and the angle of depression from the top of another pole at point P is 30^(@) . Find the heights of the poles and distances of the point P from the poles.

Knowledge Check

  • From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

    A
    25 m
    B
    50 m
    C
    75 m
    D
    100 m

  • The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

    A
    180 m
    B
    150 m
    C
    100 m
    D
    120 m

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    A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the samme point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

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