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.(1 point)
Responses
16 ft
16 ft
20 ft
20 ft
14 ft
14 ft
18 ft
To solve this problem, we can use trigonometric functions. We know that the belt makes a 60° angle with the ground, so we can use the sine function to find the vertical distance the supplies travel.
sin(60°) = opposite/hypotenuse
sin(60°) = 14 feet/hypotenuse
To find the hypotenuse, we need to divide 14 feet by sin(60°).
hypotenuse = 14 feet / sin(60°) ≈ 16.16 feet
Therefore, the supplies travel approximately 16 feet from one end of the conveyor belt to the other.