Let ABC be a right triangle with fixed hypotenuse, c= 10 inches. If x (the angle at vertex A) is increasing at a rate of 4pi radians/min, find the rate at which a (the side opposite A) is increasing at the instant that x = pi/3 radians.

(Thinking)

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- Jan 17th 2011, 09:19 PMonanycRelated Rates Problem
Let ABC be a right triangle with fixed hypotenuse, c= 10 inches. If x (the angle at vertex A) is increasing at a rate of 4pi radians/min, find the rate at which a (the side opposite A) is increasing at the instant that x = pi/3 radians.

(Thinking) - Jan 17th 2011, 09:58 PMpickslides
Here's some hints

then - Jan 17th 2011, 10:06 PMProve It
And you want to evaluate at the point where .