You walk east 749 feet to get from your house to class. After class, you walk southwest 800 feet to meet your friends for lunch. When walking the 305 feet back home from lunch, what direction are you traveling?

A southwest walk of 800 feet has components of about 566 feet west and 566 feet south. After also walking 749 feet east, you are about 183 feet east and 566 feet south of home, so returning requires traveling west and north: northwest. The stated 305-foot return distance is inconsistent with these distances; the position described would be about 595 feet from home. The direction is still NW.

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