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Goat is tied to a barrel. Rope is 10ft. Barrel's diameter is 2ft. The goat walks 300 degrees around the barrel & stops at a point & walks northeast. Tangent formed. Coord where rope runs out?
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by AtomicBurd at March 04, 2011

Origin of barrel is (0,0). Goat is (before moving) (10,0). Since the goat stops at (?,?) on the barrel, there is 60 degrees left. He walks NE, so what are the coord of where the rope/goat ends?

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Ok, so there are 60 degrees left counterclockwise. So the coordinates are (10*cos(300),10*sin(300)) which is (5,-8.66)

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John_Doe March 04, 2011

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The last answer is not correct. You also need to subtract the length of rope that wrapped around the barrel. Use the formula for circumference and the fact that the goat walked 30/36 of the way around the barrel.Hope that helps

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Steve204 March 04, 2011

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Goat is tied to a barrel. Rope is 10ft. Barrel's diameter is 2ft. The goat walks 300 degrees around the barrel & stops at a point & walks northeast. Tangent formed. Coord where rope runs out? ⚑ Flag

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Goat is tied to a barrel. Rope is 10ft. Barrel's diameter is 2ft. The goat walks 300 degrees around the barrel & stops at a point & walks northeast. Tangent formed. Coord where rope runs out?
⚑ Flag