An artist friend of yours needs help hanging a 500lb sculpture from the ceiling. For artistic reasons, she wants to use just two ropes. One will be 30° from vertical, the other 60°. 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 18 1/2inch diameter and that the safety rating is 4000 pounds per square inch of cross section. What diameter rope should you buy?