Pre-Algebra

posted by Evalyn Carver

I'm having problems with Pythagorean theorem: word problems. Please help me. Damon is fishing from a small boat. A fish swimming at the same depth as the hook at the end of his fishing line is 12 feet away from the hook. If Damon is 20 feet away from the fish, how far below Damon is the hook?
Thank you so much because I have been working on this for the past hour and I have gotten no where.

  1. Evalyn Carver

    Reed? Reiny? Anyone? I'm not trying to rush anyone but I am really eager to find out what I've been doing wrong.

  2. Damon

    The hypotenuse is 20
    one of the legs is 12
    what is the other leg?
    12^2 + x^2 = 20^2 = 400
    x^2 = 400 - 144
    x^2 = 256
    x = 16
    and yes, I am a fisherman.

  3. Damon

    By the way this is a 3, 4, 5 triangle
    9 + 16 = 25

  4. Evalyn Carver

    It's so clear now! Thank you so much! Are you seriously a fisherman though?

  5. Damon

    Yes, although not since I was a young man lobstering and ground fishing out of Gloucester, Massachusetts.

  6. Evalyn Carver

    Sweet! I've never went fishing. The closest I've ever been to water is when I found a baby turtle near a river that I used to live by. Now I have three of them Tony, Tonia, and I still have to figure out if the last one is a girl or a boy. It's a challenge but that's what makes it fun!

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