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

  • question_answer
    A tower subtends an angle of\[{{30}^{o}}\]at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point h vertically above the first, the depression of the foot of the tower is\[{{60}^{o}}\]. The height of the tower is [MP PET 1993]

    A) h/3

    B) h/3d

    C) 3h

    D) \[\frac{3h}{d}\]

    Correct Answer: A

    Solution :

    Trick: From\[H=l\tan \alpha \,.\,\tan \beta \], the height of tower is \[h\tan {{30}^{o}}\cot {{60}^{o}}\text{or }\frac{h}{3}\].


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