(Answered) An artist friend of yours needs help hanging a 500 lb

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An artist friend of yours needs help hanging a 500 lb sculpture from the ceiling. For artistic reasons, she wants to use just two ropes. One will be 30^o from vertical, the other 60^o . She needs you to determine the smallest diameter rope that can safely support this expensive piece of art. On a visit to the hardware store you find that rope is sold in increments of 1/8 inch diameter and that the safety rating is 4000 pounds per square inch of cross section.

A. What size (diameter) rope should you buy?

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