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

  • question_answer
    At a point on the ground the angle of elevation of a tower is such that its cotangent is 3/5. On walking 32 metres towards the tower the cotangent of the angle of elevation is 2/5. The height of the tower is

    A) 160 m

    B) 120 m

    C) 64 m

    D) None of these

    Correct Answer: A

    Solution :

    \[\cot \alpha =\frac{3}{5}\], \[\cot \beta =\frac{2}{5}\], \[32=h\cot \alpha -h\cot \beta \] \[h=\left( \frac{32}{\cot \alpha -\cot \beta } \right)\] \[=\frac{32}{1/5}=160m\].

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