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

  • question_answer
    A house subtends a right angle at the window of an opposite house and the angle of elevation of the window from the bottom of the first house is\[{{60}^{o}}\]. If the distance between the two houses be 6 metres, then the height of the first house is [MNR 1978]

    A) \[6\sqrt{3}\,\,m\]

    B) \[8\sqrt{3}\,\,m\]

    C) \[4\sqrt{3}\,\,m\]

    D) None of these

    Correct Answer: B

    Solution :

    \[\frac{12}{h}=\sin {{60}^{o}}\] \[\Rightarrow \] \[h=8\sqrt{3}\]m.

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