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    Question

    The shadow of a pole on ground level is increased by 24

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

    Solution

    Tan 60┬░ = h /x┬а ┬а ┬а ┬а h = тИЪ3x┬а ┬а ┬а ┬а ┬а ┬атАж (1) Tan30┬░ = h/(x+24) 1/тИЪ3 =h/x+24 h = (x+24)/тИЪ3┬а ┬а ┬а ┬а ┬а тАж (2) EQ (1) and Eq (2) both are equal. тИЪ3x =(x+24)/тИЪ3 3x =x+24 2x =24 X=12. Now put the value of x in equation (1). Height =12тИЪ3 m.

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