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The angle of elavation of a …

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The angle of elavation of a cloud from a point 60m above a lake is 30° and the angle. Of depression of the reflection of the cloud is 60°. Find the height of the cloud.

    • Posted by Anu Angel 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 10 months ago

    <form action="https://www.studyrankersonline.com/6117/angle-elevation-above-angle-depression-reflection-height" method="post"> 

    Let AO = H 

    CD = OB = 60m

    A'B = AB = 60 + H

    In  Δ AOD,

     ⇒ 120 + H = 3H 

    ⇒ 2 H = 120 

    ⇒ H = 60 m

    Thus, height of the cloud above the lake = AB + A'B = 60 + 60 = 120 m.

    </form>

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