Hi,
I'm looking at the ladder problem in the recitation session for lesson 31, related to rates of change. I can understand the solution being presented and I can't find any flaw with it. However I have what I believe is a simpler solution. The problem is the solution I come up with is different and I can't see the flaw of my solution either.
My solution calls x to the base of the bigger triangle, y to its height. By Pithagorean Theorem and deriving we get to y' = - xx' / y (with ' notation meaning d/dt). At t=0, using triangle geometry you get x = 12 and y = 16. So it follows y'= -15/4.

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To follow up, what is wrong with my solution if anything :-)?

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