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

  • question_answer
    A house of height 100 metres subtends a right angle at the window of an opposite house. If the height of the window be 64 metres, then the distance between the two houses is

    A) 48 m

    B) 36 m

    C) 54 m

    D) 72 m

    Correct Answer: A

    Solution :

    \[64\cot \theta =d\] Also \[(100-64)\tan \theta =d\text{ }\] or \[\text{ }(64)\,(36)\,={{d}^{2}}\], \[\therefore \] \[d=8\times 6=48\]m.

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