trigonometry
posted by daniel .
Find the distance the container is lifted as the winch is rotated through an angle of 5pi/6 radian and a having a radius of 6 in

one complete rotation moves the container a distance equal to the circumference of the winch spool.
one complete rotation is 2pi radians.
5pi/6 radians is thus (5pi/6)/(2pi) = 5/12 of a complete rotation.
the circumference is 2pi*6 = 12pi inches, so the container is lifted (5/12)(12pi) = 5pi inches.
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