10th Class Mathematics Introduction to Trigonometry Question Bank MCQs - Introduction to Trigonometry

  • question_answer
    In the given figure, if \[AB=14cm,\] then the value of tan B is:(CBSE 2012)

    A) \[\frac{4}{3}\]

    B) \[\frac{14}{3}\]

    C) \[\frac{5}{3}\]

    D) \[\frac{13}{3}\]  

    Correct Answer: A

    Solution :

    [a] \[AC=\sqrt{{{13}^{2}}-{{5}^{2}}}=12\,cm\]
    \[DE=AC=12\,cm,\]
    \[BE=AB-AE=14cm-5cm=9cm\]
    In \[\Delta BED,\]\[\tan B=\frac{DE}{BE}=\frac{12}{9}=\frac{4}{3}\]


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