Question

Stephanie is trying to hang holiday lights in her house. She places a 12-foot ladder against the house. The top of the ladder to reach a spot 9 feet above the ground when propped up against the house. What is the approximate distance on the ground between the base of the ladder and the house? 3 feet, 5 feet, 8 feet, 10 feet

Answer 1

Answer:3

Explanation:

Answer 2

8 ft

Explanation:

Okay lets get our variables and notes down first, I'll use the most common terms for this.

Hypotenuse: 12 ft <-- The ladder is the hypotenuse

Leg: 9 <- The height of the top of the ladder on the house

Base: ? <- We need to solve for it.

Pythagorean Theorem says c²-a²=b²

c = Hypotenuse

a & b are both Legs and interchangeable

12²-9²=b²

144-81=b²

63=b²

`√(63)`=
`\sqrt{b^(2) }`

`3√(7)`=b which is approximately 7.93 which rounds up to 8