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    Question

    The angle of depression of the foot of a building from

    the top of a tower 54√3 m away is 30°. How high is the tower?
    A 54 m Correct Answer Incorrect Answer
    B 18√3 m Correct Answer Incorrect Answer
    C 162 m Correct Answer Incorrect Answer
    D 27√3 m Correct Answer Incorrect Answer

    Solution

    => tan A = height/base => tan 30 = height/54 √3 => 1/√3 = height/54 √3 => height = 54 √3/√3 => height = 54 m

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