Related Rates using circles can someone please help? I'm taking Calculus, but I'm really having trouble understanding the concept of related rates.
A jogger runs around a circular track of radius 55 ft. Let (x,y) be her coordinates, where the origin is the center of the track. When the jogger's coordinates are (33, 44), her x-coordinate is changing at a rate of 17 ft/s. Find dy/dt.
I tried making a triangle within the circle, and differentiating the Pythagorean Theorem to find the hypotenuse's length, but I'm stuck.
Thank you!

The equation of the circle the jogger is running about is simply $$x^2+y^2=55^2. $$ Differentiating yields $$2xdx+2ydy=0. $$ Multiplying both sides by $\frac{1}{dt}$ yields $$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0. $$ The problem stated that at the point $(33,44)$, $\frac{dx}{dt}=17.$ Plugging these values into the equation directly above, we obtain $$2(33)(17)+(2)(44)\frac{dy}{dt}=0. $$ You are solving for $\frac{dy}{dt}.$ We see $$\boxed{\frac{dy}{dt}=-\frac{51}{4}.} $$
