JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Height and Distance

  • question_answer
    The angle of elevation of the top of a tower from the top of a house is\[{{60}^{o}}\]and the angle of depression of its base is\[{{30}^{o}}\]. If the horizontal distance between the house and the tower be 12 m, then the height of the tower is

    A) \[48\,\sqrt{3}\,\,m\]

    B) \[16\,\sqrt{3}\,\,m\]

    C) \[24\,\sqrt{3}\,\,m\]

    D) \[16/\,\sqrt{3}\,\,m\]

    Correct Answer: B

    Solution :

    \[h=12\tan {{30}^{o}}=\frac{12}{\sqrt{3}}\] and \[H=12\tan {{60}^{o}}+\frac{12}{\sqrt{3}}\]           = \[12\sqrt{3}+\frac{12}{\sqrt{3}}=16\sqrt{3}m\].

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