Please explain how I am supposed to get this I really don't understand, but I think that I know the answer. Thanks!

1. A conveyor belt carries 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? Round your answer to the nearest foot.

a. 21 feet
b. 7 feet
c. 14 feet***
d. 17 feet

You are correct. Draw a diagram, and if the belt's length is x, then

12/x = sin60°

To solve this problem, you can use trigonometry. Specifically, you can use the sine function to find the distance traveled by the supplies on the conveyor belt.

The 60-degree angle formed by the conveyor belt is with respect to the ground. We need to find the length of the conveyor belt, which is the hypotenuse of a right triangle.

Let's imagine a right triangle where the height difference between the first floor and the second floor is a vertical leg (opposite side to the angle), and the length of the conveyor belt is the hypotenuse. The angle of 60 degrees is formed by the hypotenuse and the ground.

Now, we can use the sine function. The sine of an angle in a right triangle is equal to the length of the opposite side divided by the hypotenuse.

sin(60 degrees) = opposite side / hypotenuse

The opposite side is the vertical distance between the floors, which is 12 feet. Let's call the hypotenuse x.

Sin(60 degrees) = 12 / x

To find x, we isolate the variable on one side of the equation by multiplying both sides by x:

x * sin(60 degrees) = 12

Then, divide both sides of the equation by sin(60 degrees):

x = 12 / sin(60 degrees)

Using a calculator or trigonometric tables, we find that sin(60 degrees) is approximately 0.866.

x = 12 / 0.866

x ≈ 13.86

Rounding to the nearest foot, the length of the conveyor belt is approximately 14 feet.

Therefore, the correct answer is option c. 14 feet.