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

The angle of elevation of a cloud from a point h mt. above is `theta^@` and the angle of depression of its reflection in the lake is `phi`. Then, the height is

Text Solution

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The correct Answer is:
`(xsin(phi+theta))/(sin(phi-theta))`
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If the angle of elevation of a cloud from a foot 4 meters above a lake is beta and the angle of depression of its reflection in the lake is alpha then the height is

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

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 cloud from a point 250 m above a lake is 15^(@) and angle of depression of its reflection in lake is 45^(@) . The height of the cloud is

    A
    `250 sqrt(3) m`
    B
    250 m
    C
    `( 250 ) /( sqrt(3)) m `
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

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    The angle of elevation of a cloud from a point 'h' metres above a lake is a and the angle of deprssion of its reflection in the lake is beta . Pover that the distance of the cloud from the point of observation is (2hsecalpha)/(tanbeta-tamalpha) .

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    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.

    If the angle of elevation of a cloud from a point h metres above a lake is alpha and the angle of depression of its reflection in the take is beta prove that the height of the cloud is h(tan beta+tan alpha)quad tan beta-tan alpha

    If the angle of elevation of a cloud from a point h metres above lake is alpha and the angle of depression of its reflection in the lake be beta , prove that the distance of the cloud from the point of observation is (2 h sec alpha)/(tan beta - tan alpha)

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