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Math Help - Help required for Problem Sum on Applications of Trigonometry

  1. #1
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    Help required for Problem Sum on Applications of Trigonometry

    Heres goes the question:
    A ladder AB,of length 13m, rests against a vertical wallwith its foot on a horizontal floor at a distance of 5m from the wall. When the top of the ladder slips down a distance of x metres on the wall, the foot of the ladder moves out by x metres. Find the value of x.

    Swift replies will be appreciated. Thanks in advance.
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  2. #2
    Pim
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    (12-x)^2+(5+x)^2=13^2
    144-24x+x^2+25+10x+x^2=169
    2x^2-14x+169=169
    x^2-7x=0
    x = 0 OR (x-7) = 0
    x = 0 OR x = 7

    Do you understand what I did?
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  3. #3
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    Thanks for your reply. I understand your method but I just felt that your method was more of a quadratic equation approach rather than trigonometric approach.
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  4. #4
    Master Of Puppets
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    You will also need to show how you arrived at 12m height of the wall.

    by Pythagora's thm.

    w^2 +5^2 = 13^2 \implies w=12
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