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Length as a function of x

  1. Jan 22, 2014 #1
    1. The problem statement, all variables and given/known data

    Attached

    2. Relevant equations



    3. The attempt at a solution

    I am to provide a solution without using any trigonometry or calculus, but I can't find a way. To clarify, I must find d(x).

    Involving trig, the problem is trivial, as the angle "A" is equal to arctan(5/4), and then the law of cosines is applied, this is my result on the attachment.

    How could you solve this without involving trigonometry?
     

    Attached Files:

  2. jcsd
  3. Jan 22, 2014 #2
    Drop a perpendicular from C to AB. I think you can use similar triangle arguments and the Pythagorean theorem to get a relationship between x and d without using the law of cosines.
     
  4. Jan 22, 2014 #3
    Cheers, solution followed readily.
     
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