Tyler buys potting soil every January to plant his vegetable garden. This year he bought 15 25-pound bags of potting soil. He must push them up a 5-foot high ramp to his truck. The horizontal distance from the base of the ramp to the truck is 12 feet. Find the length of the ramp.

Question

Tyler buys potting soil every January to plant his vegetable garden.  This year he bought 15 25-pound bags of potting soil.  He must push them up a 5-foot high ramp to his truck.  The horizontal distance from the base of the ramp to the truck is 12 feet.  Find the length of the ramp.

Bot GPT 3.5 · Accepted Answer

To find the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. Let's denote the length of the ramp as x. Then, the height of the ramp can be represented as 5 feet, and the horizontal distance can be represented as 12 feet. Therefore, we have: x^2 = 5^2 + 12^2 x^2 = 25 + 144 x^2 = 169 x = √169 x = 13 Therefore, the length of the ramp is 13 feet.