SOLUTION: Manufacturing: The most efficient operating angle for a certain conveyor belt is 31 degree. If the parts must be moved a vertical distance of 16 ft, what length of conveyor is ne

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Question 111782: Manufacturing:
The most efficient operating angle for a certain conveyor belt is 31 degree. If the parts must be moved a vertical distance of 16 ft, what length of conveyor is needed? Round to the nearest tenth.
Drawing given is a trangle: Right angle 16' opposite side 31 degree angle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The most efficient operating angle for a certain conveyor belt is 31 degree. If the parts must be moved a vertical distance of 16 ft, what length of conveyor is needed? Round to the nearest tenth.
Drawing given is a triangle: Right angle 16' opposite side 31 degree angle.
:
The length of the conveyor is the hypotenuse (h),
therefore we can use the sine of 31 degrees (side opposite over hypotenuse):
:
sin(31) = 16%2Fh
.515 = 16%2Fh
.515h = 16
h = 16%2F.515
h = 31.1 ft