Tyrese buys potting soil every January to plant vegetables in his garden. This year he bought 15 25-pound bags of potting soil. He must push them up a 6-foot-high ramp to his truck. The horizonal distance from the base of the ramp to the truck is 8 feet. Apply a Pythagorean triple to find the length of the ramp.
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 side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the height of the ramp is 6 feet and the horizontal distance from the base of the ramp to the truck is 8 feet. Let's denote the length of the ramp as x.
So, using the Pythagorean theorem, we have:
x^2 = 6^2 + 8^2
x^2 = 36 + 64
x^2 = 100
x = 10
Therefore, the length of the ramp is 10 feet.