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The angle of elevation of a cloud from a...

The angle of elevation of a cloud from a point 60m above a lake is `30^@` and the angle of depression of the reflection of cloud in the lake is `60^@`. Find the height of the cloud.

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The correct Answer is:
120 m
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The angle of elevation of cloud from a point 60 m above a lake is 30^(@) and the angle of depression of the reflection of cloud in the lake is 60^(@) . Find the height of the cloud .

The angle of elevation of a cloud from a point 60m above a lake is 30o and the angle of depression of the reflection of cloud in the lake is 60_(0). Find the height of the cloud.

Knowledge Check

  • If the angle of elevation of a cloud from a point 200m above a lake is 30^(@) and the angle of depression of its reflection in the lake is 60^(@) .Then the height of the cloud above the lake is :

    A
    100 m
    B
    200 m
    C
    300 m
    D
    400 m

  • The angle of elevation of a stationary cloud from a point 2500 m above a lake is 15^(@) and the angle of depression of its reflection in the lake is 45^(@) . The height of the cloud above the lake level is

    A
    `2500 sqrt(3) m`
    B
    `2500 sqrt(2) m`
    C
    `1500 m`
    D
    `1500 sqrt(3) m`

    • Similar Questions

    Explore conceptually related problems

    The angle of elevation of a cloud from a point 60m above a leke is 30^(@) and the angle of depression of the reflection of cloud in the alek is 60^(@). Find the height of the cloud.

    If the angle of elevation of a cloud from a point 10 metres above a lake is 30^(@) and the angle of depression of its reflection in the lake is 60^(@) . Find the height of the cloud from the surface of lake.

    The angle of elevation of a stationary cloud from a point 2500 feet above a lake is 30^@ and the angle of depression of its reflection in the lake is 45^@ .Find the height of cloud above the lake water surface .

    If the angle of elevation of a cloud from a point 200 m above a lake is 30o and the angle of depression of its reflection in the lake is 60o , then the height of the cloud above the lake, is (a) 200 m (b) 500 m (c) 30 m (d) 400 m

    The angle of elevation of a stationary cloud from a point 2500 m above a lake is 15^(@) and the angle of depression of its reflection in the lake is 45^(@) . The height of the clound above lake level is 2500sqrt(3) metres.

    The angle of elevation of a stationery cloud from a point 2500 m above a lake is 15o and the angle of depression of its reflection in the lake is 450. What is the height of the cloud above the lake level? (Use tan 15o =0.268)

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