Question

A slide and its ladder form a right triangle with the ground, with the

slide representing the hypotenuse. The top of the ladder is 10 feet above
the ground, and the bottom of the ladder is 12 feet from the bottom of
the slide. What is the length of the slide to the nearest tenth of a foot?​

Answer 1

15.6 ft

Explanation:

Let's call

• a: distance from the top of the ladder to the ground = 10 ft

• b: distance from the bottom of the ladder to the bottom of the slide = 12 ft

• c: length of the slide

From Pythagorean theorem:

c² = a² + b²

c = √(10² + 12²)

c = 15.6 ft