A conveyor belt carries supplies from the first floor to the second floor, which is 14 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.
The conveyor belt forms a right triangle with the ground and the vertical distance between the first and second floor. We can use the sine function to find the length of the belt. Since sine is the opposite over the hypotenuse, we have $\sin 60^\circ = \frac{14}{\text{length of belt}}$. Solving for the length of belt, we find: $\frac{14}{\frac{14}{\sqrt{3}}} = \sqrt{3} \cdot 14 \approx \boxed{24}$ feet.
