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A vertical tower stands On a …

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A vertical tower stands On a horizontal plane and is surmounted by a vertical flagstaff of height h at a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are alpha and beta respectively. Prove that the height of the tower is ( h tan alpha/ tan beta - tan alpha)

    • Posted by Gopika Satheesh 4 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Gopika Satheesh 4 years, 5 months ago

    Thank you

    0Thank You

    Gaurav Seth 4 years, 5 months ago

    Proof:

    The diagram for this sum is attached below

    Let AB be the tower and BC be the flagstaff. Let OA = x metre, AB = ‘y’ metre and  BC = ‘h’ metre.

    In right ∆OAB,

    On cross-multiplication we get,

       → (1)

    In right ∆OAC

      

      → (2)

    Equating equation 1 and 2 we get,

    Thus the height of the tower is h tan alpha/tan beta - tan alpha is proved

    1Thank You

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