(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A winch at the top of a 12 metre building pulls a pipe of the same length to a vertical positon, as shown in the figure below. The winch pulls the rope at a rate of -0.2 m/s. Find the rate of the vertical change and horiziontal change at the end of the pipe when y=6.

Sorry for no diagram I couldn't find a picture of it. It's question 27 in section 2.6 of Larson and Edwards Calculus 9th editon if that helps. bacially the diagram looks like a buliding on the left that's 12 metres tall with the winch on the top of the buliding on the right edge. The pipe is 12 metres long and is being pulled with a rope (s). Well I guess I can't draw it using characters on this site, sorry I hope the discribtion was enough.

3. The attempt at a solution

I know I need come up with an equation that uses all sides so I can use the ds/dt, I just can't seem to think of one. I don't think I can use Pythagorean Theorem because it's not a right triangle. And the only other equation for a triangle that I know is the Law of Cosines and I'm not given an angle. I also tried using Area formulas but I don't know dA/dt or s.

Please help me with this problem, it's driving me nuts that I can't think of what to do.

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# Tricky Related Rates Problem

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