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The angle of elevation from a …

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The angle of elevation from a top of a tower from the points p and q and distances a and b respectively from the base and in the same straight line with it are complementary prove that the hight of the tower is rootab

    • Posted by Manan Pareek 4 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 11 months ago

     

    AB is a tower. D and Care two points on the same side of a tower, BD = a and BC = b.

     

     

    ∠ADB and ∠ACB are the complementary angles.

     

    If ∠ADB = x, then ∠ACB = 90 – x

     

    In ∆ADB,

     

     

    ………… (1)

     

    In ∆ABC,

     

     

    …………....(2)

     

    Multiplying (1) and (2),

     

     

     

    (AB)2 = ab

     

    AB = √ab

     

    Height of tower = AB = √ab

     

    Hence proved.

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