Sylvia is replacing a piece of siding on her house. To make the 12 ft. ladder stable, the bottom of the ladder needs to be 6 ft. from the base of her house. Applying the Pythagorean Theorem and rounding to the nearest tenth, how high will the ladder reach so that Sylvia can replace the siding?(1 point)
a² + b² = c²
a² = c² - b²
a = √ ( c² - b² )
a = √ ( 12 ² - 6 ² ) = √ ( 144 - 36 ) = √108 = 10.39230485
10.4 ft to the nearest tenth