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    Question

    The tops of two poles of height 60 metres and 35 metres

    are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?
    A 63 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer

    Solution

    5/9 = (60 – 35) / x We get x = 45 Let PS and QK are two poles. tan θ in ∆ SLR is 5 / 9 = 25 / LR = LR = 45 cm

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