A conveyor belt carries supplies from the first floor to the second floor, which is 14 feet higherThe belt makes a 60angle 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. A) 16 ft B) 20 ft C) 14 ft D)18 ft
We can use trigonometry to solve this problem.
Let's consider the right triangle formed by the ground, the conveyor belt, and the vertical distance of 14 feet. The angle between the conveyor belt and the ground is 60 degrees.
To find the length of the conveyor belt, we need to find the side adjacent to the 60-degree angle, which is the horizontal distance traveled by the supplies.
Using the cosine function:
cos(60) = adjacent/hypotenuse
cos(60) = adjacent/14
Simplifying, we find:
adjacent = 14 * cos(60)
adjacent = 14 * 1/2
adjacent = 7 feet
So the supplies travel a horizontal distance of 7 feet from one end of the conveyor belt to the other.
Rounded to the nearest foot, the answer is C) 14 ft.