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Fran works due north of home. Her husband Alan works due east. By the time Fran is 7 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan? Miles

Please and thank you in Advanced!!!

  • math -

    Did you mean "walks" instead of "works" ?
    Not that it matters much, I get a right-angled triangle with sides 7, x, and x+1
    (x+1)^2 = x^2 + 7^2
    x^2 + 2x + 1 = x^2 + 49
    2x = 48
    x = 24

    check: 25^2 = 625
    24^2+7^2 = 576+49 = 625

  • math -

    Its works. :)

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