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Question:

Help.. trig problem.. find number of degrees?

An electric hoist is used to lift a beam y = 1.8 feet. The diameter of the drum on the hoist is x = 9 inches. Find the number of degrees through which the drum must rotate.answer is 275.020.. idk how to get it though

Answer:

The drum must rotate through 1.8 feet (21.6 inches) of its circumference. Its total circumference is 9pi inches = 28.274... inches That rotation is 21.6 / 28.274... of its total circumference (total circum represents a complete turn through 360 degrees) 21.6 / 28.274... (360) = 275.01974... degrees

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