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

  • question_answer
    From the top of a light house 60 meters high with its base at the sea level, the angle of depression of a boat is 15o. The distance of the boat from the foot of light house is   [MNR 1988; IIT 1983; MP PET 1994, 2001; UPSEAT 2000]

    A) \[\left( \frac{\sqrt{3}-1}{\sqrt{3}+1} \right)\,60\,\,m\]

    B) \[\left( \frac{\sqrt{3}+1}{\sqrt{3}-1} \right)\,60\,\,m\]

    C) \[\left( \frac{\sqrt{3}+1}{\sqrt{3}-1} \right)\,\,\,m\]

    D) None of these

    Correct Answer: B

    Solution :

    Required distance = \[60\cot {{15}^{o}}=60\left( \frac{\sqrt{3}+1}{\sqrt{3}-1} \right)\].


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