Question

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 one end of the conveyor belt to the other? Round your answer to the nearest foot.

Answer 1

The unknown length is the hypotenuse of the right angle formed when connecting the top of the second floor and the distance from the wall from which the belt is installed. Using the trigonometric function, sine, the equation becomes,
                                      sin 60° = 12 ft / h
The value of h from the equation is 13.86 ft. Thus, the answer is 13.86 ft. 

Answer 2

The distance the supply travel from one end of the conveyor belt to another is 14 feet.

What is a right angle triangle?

A right triangle has one of its angles as 90 degrees. The height of the tree can be found using trigonometric ratio.

Therefore,

sin 60 = opposite / hypotenuse

sin 60 = 12 / x

x = 12 / sin 60

x = 12 / 0.86602540378

x = 13.856812933

x = 14 ft

Therefore, he distance the supply travel from one end of the conveyor belt to another is 14 feet.

learn more on right angle triangle here: brainly.com/question/15402083

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