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## Homework Statement

A winch at the top of 12 meter high building pulls a pipe of the same length to a vertical position. The winch pulls in rope at a rate of -0.2 meters per second. Find the rate of the vertical change and the rate of the horizontal change at the end of the pipe when y=6.

## Homework Equations

http://www.imagehosting.com/out.php/i249658_ahhh.JPG

## The Attempt at a Solution

I simply don't have enough information..

I set up an equation relating the three variables..

[tex]s^{2}=x^{2}+(12-y)^{2}[/tex]

and differentiate with respect to time and end up with

[tex]s\frac{ds}{dt}=x\frac{dx}{dt}-(12-y)\frac{dy}{dt}[/tex]

But I simply don't have all of the variables needed. I can solve for x (with pythagorean theorem), but not dx/dt...

Any help is appreciated. :yuck: