Answer
$C = 26.34^\circ \hspace{10pt} $A = 108.493$ \hspace{10pt} a = 2.394 \,$ inches
Work Step by Step
$\sin{C} = = \dfrac{c\sin{B}}{b} =\dfrac{1.12 \sin{45.167}}{1.79}$
$\sin{C} = 0.444$
$C = 26.34^\circ \hspace{40pt} C' = 153.66^\circ \hspace{10pt} $(Refused)
$A = 180-(B+C) = 108.493$
$a = \dfrac{b \sin{A}}{\sin{B}} = \dfrac{1.79 \times \sin{108.493}}{\sin{45.167}}$
$a = 2.394 \,$ inches