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KATRIN_1 [288]
3 years ago
7

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
Mathematics
2 answers:
Softa [21]3 years ago
6 0

Answer:3

Step-by-step explanation:

harkovskaia [24]3 years ago
4 0

Answer:

8 ft

Step-by-step 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

   \sqrt{63}=\sqrt{b^{2} }

   3\sqrt{7}=b which is approximately 7.93 which rounds up to 8

 

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