10th Class Mathematics Introduction to Trigonometry Question Bank Trigonometry

  • question_answer
    In the given figure below, what is the value of SQ?

    A)  \[\frac{10}{\sqrt{3}}m\]                             

    B)  \[10\sqrt{3}m\]         

    C)  \[\frac{20}{\sqrt{3}}m\]          

    D)  30 m

    Correct Answer: D

    Solution :

    (d) \[tan{{30}^{{}^\circ }}=\frac{10}{PQ}\] \[\frac{1}{\sqrt{3}}=\frac{10}{PQ},PQ=10\sqrt{3}\] \[\tan {{60}^{{}^\circ }}=\frac{SQ}{10\sqrt{3}}=\frac{SR+10}{10\sqrt{3}}\] \[\sqrt{3}=\frac{SR+10}{10\sqrt{3}}\] SR = 20 \[SQ=20+10=30\]


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