Answer
$b \approx 302$ inches
$C = 66.1˚$
$c \approx 291$ inches
Work Step by Step
1. Solve for the missing length $b$
$\frac{b}{sin(71.4)} = \frac{215}{sin(42.5)}$
$b = \frac{215sin(71.4)}{sin(42.5)}$
by GDC / calculator
$b = \frac{203.77...}{0.6755...}$
$b = 301.618...$ inches
$b \approx 302$ inches
2. Solve for the missing angle $C$
$C + 42.5 + 71.4 = 180$
$C + 113.9 = 180$
$C = 66.1˚$
3. Solve for the missing length $c$
$\frac{c}{sin(66.1)} = \frac{215}{sin(42.5)}$
$b = \frac{215sin(66.1)}{sin(42.5)}$
by GDC / calculator
$c = \frac{196.56...}{0.6755...}$
$c = 290.952...$ inches
$c \approx 291$ inches
