Question 451564
Law of Sines is {{{sinA/a=sinB/b=sinC/c}}}, where A, B, and C are measures of 

angles and a, b, and c are the lengths of sides of the triangle. 

We know that A=30 degree, a=10cm, and B=45 degree. 

Find first C=180-(45+30)=105 degree.

Substituting in the formula we get:{{{sin(30)/10=sin(45)/b=sin(105)/c}}}

therefore, {{{b=10sin(45)/sin(30)=10sqrt(2) cm}}} and 

{{{c=10sin(105)/sin(30)=19.3}}} cm.