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From the top of a tower 50 m high, the a...

From the top of a tower 50 m high, the angle of depression of the top of a pole is `45^(@)` and from the foot of the pole, the angle of elevation of the top of the tower is `60^(@)`. Find the height of the pole if the pole and tower stand on the same plane.

Text Solution

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The correct Answer is:
21.13m
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A statue, 1.6m 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 same point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

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Knowledge Check

  • 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
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    B
    150 m
    C
    100 m
    D
    120 m

  • If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

    A
    `100sqrt(3) m`
    B
    `(100)/sqrt(3)` m
    C
    `50sqrt(3) m`
    D
    `(200)/sqrt(3)` m

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