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

  • question_answer
    An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is 60o and that of the top of cliff is 30o. If the height of the tower be 60 meters, then the height of the cliff is [Roorkee 1982]

    A) 30 m

    B) \[60\sqrt{3}\,\,m\]

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

    D) None of these

    Correct Answer: A

    Solution :

    \[(60+h)\cot {{60}^{o}}=h\cot {{30}^{o}}\]\[\Rightarrow \] \[h=30m\]

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