Respuesta :
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
[tex]\sqrt{63}[/tex]=[tex]\sqrt{b^{2} }[/tex]
[tex]3\sqrt{7}[/tex]=b which is approximately 7.93 which rounds up to 8