Answer:
AC = 4.34 cm
Step-by-step explanation:
You have an angle and its opposite side. That allows you to establish a ratio in the law of sines, so use the law of sines.
[tex] \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin B} [/tex]
[tex]\dfrac{8.15~cm}{\sin 110^\circ} = \dfrac{AC}{\sin 30^\circ}[/tex]
[tex]AC = \dfrac{8.15~cm \times \sin 30^\circ}{\sin 110^\circ}[/tex]
[tex] AC = 4.34~cm [/tex]
