Solve the right triangle below. Round sides to the nearest thousandth.
[list=1] [*]Find the measures of [math]\overline{AC}[/math] and [math]\overline{AB}[/math]. [*]Use the cosine function based on the given information. [*]Use the Pythagorean Theorem to check your trigonometry calculations. [*]Find the value of [math]\angle A[/math]. [*]Use the inverse trigonometric function since you are solving for an angle measure. [/list]