Can someone tell me how to solve this with a calculator?

Sin(27) / 11 = Sin(x) / 23 cross multiply

23*sin(27) =11*sin(x) take sin(27) on your calculator

23*.454 =11sin(x)

10.442 =11sin(x) divide both sides by 11

10.442/11 =sin(x)

0.94927 =sin(x)

Arcsin(.94927)=x

x=71.67 degrees