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    Question

    From a point situated at some distance from the base of

    a pillar, the angle of elevation of the top of the pillar is found to be 45 degrees. After walking 12 m further, the value of elevation angle becomes 60 . Tell the height of the pillar.
    A (12√3)/(√3-1) Correct Answer Incorrect Answer
    B (8√3)/(√3+1) Correct Answer Incorrect Answer
    C (2√3)/(√3-1) Correct Answer Incorrect Answer
    D (√3-1)/2 Correct Answer Incorrect Answer

    Solution

     tan60=h/x   √3=  h/x x=  h/√3 …. (1) When the angle of elevation becomes 45° tan45= h/(x+12) 1 = h/(h/(√3)+12) 1 = (√3h)/(h+12√3) √3h=h+12√3 √3h-h=12√3 h(√3-1)=12√3 h = (12√3)/(√3-1)

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