Problem involving power, mass, incline, and finding a max. velocity

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_chris_
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a 1360.7 kg car has an engine which can deliver 59,680 watts to the rear wheels. what is the max. velocity at which the car can climb a 15-degree hill?

i have no idea how to solve this. immediate help would be GREATLY appreciated!

the work i have done was setting up a triangle with the mass as the hypotenuse...and found the side opposite the 15-degree angle to be 352.17...and from there i am just lost.

i don't see how using the given numbers could help find a maximum velocity. we have a test tomorrow, and this question is on it. our teacher said he would give no advice as to how to solve it. he actually suggested that we find a place much like this one in order to figure out what to do.
 
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oh good lord. I've now made a complete fool of myself.

at first i thought there was no way to edit the topic, which i now see that there is. i also thought you were able to delete threads you started. and you cannot.

so uh. that's the reason for my uh...idiocy. i apologize.