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

  • question_answer
     If a flagstaff of 6 metres high placed on the top of a tower throws a shadow of \[2\sqrt{3}\,metres\] along the ground, then the angle (in degrees) that the sun makes with the ground is  [EAMCET 1990]

    A) \[{{60}^{o}}\]

    B) \[{{80}^{o}}\]

    C) \[{{75}^{o}}\]

    D) None of these

    Correct Answer: A

    Solution :

    Accordingly,  \[\tan \theta =\frac{h}{x}=\frac{h+6}{x+2\sqrt{3}}=\frac{6}{2\sqrt{3}}\Rightarrow \theta ={{60}^{o}}\][Since the triangles \[60-x=\sqrt{3}(\sqrt{3}x)\] and \[\frac{60}{4}=x\Rightarrow x=15\] are similar].

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