# Jason leans a 12 foot ladder against the side of his house with the base of the ladder 3.5 feet from the house. To the nearest tenth, how high up the side of the house does the ladder reach?

$11.5$
${12}^{2} - {3.5}^{2} = 144 - 12.25 = 131.75$
$\sqrt{131.75} \approx 11.5$