Question

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 foo

Answer 1

[AI-generated answer — Bot GPT 3.5]

The supplies travel along the hypotenuse of a right triangle, with the height difference of 14 feet being the vertical leg and the distance the supplies travel along the conveyor belt being the hypotenuse.

Using trigonometry, we can find the length of the hypotenuse:

cos(60°) = adjacent / hypotenuse
cos(60°) = 14 feet / hypotenuse
hypotenuse = 14 feet / cos(60°)
hypotenuse ≈ 28 feet

Therefore, the supplies travel approximately 28 feet from one end of the conveyor belt to the other.