Use the Law of Sines to find the indicated side x. (Assume a = 310. Round your answer to two decimal places.)

We have the following:
The first thing is to calculate the values of all the angles of the triangle, since the sum of the angles in a triangle is 180, therefore:
[tex]\begin{gathered} 180=now, with the law of sines:[tex]\frac{x}{\sinreplacing:[tex]\begin{gathered} \frac{x}{\sin 57}=\frac{310}{\sin 98.4} \\ x=\frac{310\cdot\sin 57}{\sin 98.4} \\ x=\frac{310\cdot0.839}{0.989} \\ x=262.81 \end{gathered}[/tex]The answer is 262.81 units