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

A conveyor belt transports supplies from the first floor to the second floor, which is 12 feet higher. The belt makes a 60-degree angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other? Please round your answer to the nearest foot.

2 Answers

A
Anonymous

Dec 30, 2024

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)’.

A
Anonymous

Feb 08, 2025

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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