Answer:
caculations below
Explanation:
A conveyor belt carries supplies from the first floor to the second floor which is 23 feet higher. The belt makes a 60-degree angle with the ground.
To calculate the distance traveled by the supplies from one end of the conveyor belt to the other, we can use the trigonometric function of sine.
sin(60) = opposite / hypotenuse
Here, the opposite side is the height difference between the two floors, which is 23 feet.
sin(60) = 23 / hypotenuse
To find the hypotenuse, we can rearrange the above equation:
hypotenuse = 23 / sin(60)
Using a calculator, we get:
hypotenuse = 26.5 feet
Therefore, the supplies travel approximately 26.5 feet from one end of the conveyor belt to the other.
Rounding the answer to the nearest foot, we get:
The supplies travel approximately 27 feet from one end of the conveyor belt to the other.