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    Question

    A tree stands tall with a height of 54 meters. From a

    point 'x' meters away from its base, the angle of elevation to the top of the tree is 60°. Determine the value of 'x'.
    A 27√3 metres Correct Answer Incorrect Answer
    B 30 metres Correct Answer Incorrect Answer
    C 36√3 metres Correct Answer Incorrect Answer
    D 18√3 metres Correct Answer Incorrect Answer

    Solution

    Image In the given figure, let points 'A' and 'B' represent the top of the tree and the base of the tree, respectively and let 'C' represents the point on the ground that is 'x' metres away from the base of the tree (BC = x).In right triangle ABCtan 60o = (AB/x)Or, (54/x) = √3So, x = 54 ÷ √3 = 18√3 metres

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