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    Question

    The shadow of a tower on ground level is increased by 30

    m, when the angle of depression by the sun changes from 60┬░ to 30┬║. The height of the tower is?
    A 12тИЪ3 m Correct Answer Incorrect Answer
    B 17тИЪ3 m Correct Answer Incorrect Answer
    C 16тИЪ3 m Correct Answer Incorrect Answer
    D 15тИЪ3 m Correct Answer Incorrect Answer

    Solution

    ATQ- Tan 60┬░ = h / x h= тИЪ3x┬а тАж (1). Tan30┬░ = h/(x+30) 1/тИЪ3 =h/x+30 h = (x+30)/тИЪ3┬а тАж (2) EQ (1) and Eq (2) both are equal. тИЪ3x =(x+30)/тИЪ3 3x =x+30 2x =30 X=15. Now put the value of x in equation (1). Height =15тИЪ3 m.

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