10th Class Mathematics Introduction to Trigonometry Question Bank Case Based (MCQs) - Introduction to Trigonometry

  • question_answer
    The length of AC is:

    A) \[2\sqrt{3}\,m\]

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

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

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

    Correct Answer: D

    Solution :

    Since, \[\sin A=\frac{BC}{AC}\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\sin 30{}^\circ =\frac{BC}{AC}\]      [Using eq. (1)]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{1}{2}=\frac{3\sqrt{3}}{AC}\,\,\,\Rightarrow \,\,AC=6\sqrt{3}m\]
    So, option [d] is correct.


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