If a car travels 8km up a slope which is "1 in 8" gradient then how much height does it gain?

Answer 1

"1 in 8" means that for every 1 unit it travels vertically, it travels 8 units horizontally. The slope can be represented as a right triangle with a vertical height of x, a horizontal distance of 8x, and a hypotenuse of 8 km. Now use the Pythagorean Theorem (vertical side squared + horizontal side squared = hypotenuse squared) to solve for x.