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

  • question_answer
    A tree is broken by wind, its upper part touches the ground at a point 10 metres from the foot of the tree and makes an angle of\[{{45}^{o}}\]with the ground. The total length of tree is  [BIT Ranchi 1992]

    A) 15 metres

    B) 20 metres

    C) \[10\,(1+\sqrt{2})\]metres

    D) \[10\,\left( 1+\frac{\sqrt{3}}{2} \right)\]metres

    Correct Answer: C

    Solution :

    Obviously, the length of the tree is equal to \[10+10\sqrt{2}=10\text{ }(1+\sqrt{2})m\].

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