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    Question

    If distance between two pillars of length 16 & 9 cm

    is x cm. If two angle of elevation of their respective top from a point on ground of other are complementary to each other, then value of x is
    A 12 cm Correct Answer Incorrect Answer
    B 6 cm Correct Answer Incorrect Answer
    C 24 cm Correct Answer Incorrect Answer
    D 30 cm Correct Answer Incorrect Answer

    Solution

    Let A and B are the angles of elevation of given 2 pillars As we know that tan A x tan B = 1 when A and B are complementary angles (9/x) X (16/x) = 1 x2 = 144 x = 12 cm

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