A
wooden board that is 12 feet long is leaning against a wall perpendicular to
the ground. The point at which the wooden board touches the wall is 10 feet
above the ground. How far away is the base of the board from the bottom of the
wall? Round your answer to the nearest tenth.^{ }

^{} feet

In this situation, the board represents the hypotenuse of a right triangle, and the height and base are the other two legs of a triangle. Using the Pythagorean Theorem, we have

a^{2}
+ 10^{2} = 12^{2}

a^{2}
= 44

a =

a ≈ 6.6