Answer
$c\approx14.2$ in.
$d\approx7.6$ in.
Work Step by Step
$\sin58^{\circ}=\frac{12}{c}$
$c=\frac{12}{\sin58^{\circ}}$
$c\approx14.2$
Using Pythagorean Theorem to find $d$.
$d=\sqrt {c^{2}-12^{2}}$
$d\approx\sqrt{14.2^{2}-12^{2}}$
$d\approx7.6$