Answer
(a) $11.83in$ or $5.52in$;
(b) See explanations.
Work Step by Step
(a) Given $A=25^\circ$, we have two cases: 1. $a=5in$ then $c=\frac{a}{sinA}=\frac{5}{sin25}\approx11.83in$; case 2: $b=5in$ then $c=\frac{b}{cosA}=\frac{5}{cos25}\approx5.52in$;
(b) There are two answers because we do not know if the known side is facing the given angle or not.