Respuesta :

Answer:

AC = 14.0

Step-by-step explanation:

We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.

We can find the measure of <C using 180 - (118 + 22) = 40

Since we only know one side and all the angles, we can use the law of sines:  [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

[tex]\frac{24}{sin 40}=\frac{AC}{sin 22}[/tex]

Solving for AC gives us AC = 13.986826, which we can round to 14.0