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A man standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a hill as `60^0` and the angle of depression of the base of the hill as `30^0dot` Calculate the distance of the hill from the ship and the height of the hill.

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A man standing on the deck of a ship,which is 10 m above water level.He observes the angle of elevation of the top of a hill as 60and the angle of depression of the base of the hill as 30^(@). Calculate the distance of the hill from the ship and the height of the hill.

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Knowledge Check

  • From a point 12 m above the water level, the angle of elevation of the top of a hill is 60^(@) and the angle of depression of the base of the hill is 30^(@) . What is the height (in m)of the hill?

    A
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    B
    `48sqrt3`
    C
    `48`
    D
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  • The angle of elevation of the top of a hill at the foot of a tower is 60^(@) and the angle of elevation of the top of the tower at the foot of the hill.is 30^(@) . If the tower is 50 m tall, then the height of the hill is

    A
    `100sqrt3m`
    B
    `50sqrt3m`
    C
    150m
    D
    `(150)/(sqrt3)m`

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