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    Question

    From a point 'P' on level ground, the angle of elevation to

    the top of a tower 60 metres tall is 45⁰. Calculate the shortest distance from point 'P' to the top of the tower.
    A 90√2 metres Correct Answer Incorrect Answer
    B 30√2 metres Correct Answer Incorrect Answer
    C 50√2 metres Correct Answer Incorrect Answer
    D 60√2 metres Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let AB be the height of tower and AP be the shortest distance between points 'A' and 'P'.

    In ΔABP,

    sin 45° = (AB / AP)

    (1/√2) = (60 / AP)

    Or, AP = 60√2

    Therefore, shortest distance between points 'A' and 'P' is 60√2 metres.

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