A conveyor belt carries supplies from the first floor to the second

a conveyor belt carries supplies from the first floor to the second floor which is 12 feet higher. The belt makes a 60 angle with the ground. How far do the supplies travel from on end of the conveyor belt to the other? round your answer to the nearest foot.

2 Answers

  • Conveyor belt forms the hypotenuse, h, of a rt-angled triangle with height, H

    = 12′ and hypotenuse at 60 deg to the horizontal. Then h =(12sin60)’=(6rt3)’.

  • Draw a diagram!

    If you call the length of the conveyor

    belt d, we have sin 60º = 12/d, so

    d = 12/sin 60º ≈ 14 ft.

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