Answer
$C = 30˚$
$a \approx 1217$ cm
$b \approx 891$ cm
Work Step by Step
1. Find the missing angle $C$
$C + 105 + 45 = 180$
$C + 150 = 180$
$C = 30˚$
2. Find the unknown length $a$
$\frac{a}{sin(105)} = \frac{630}{sin(30)}$
$a = \frac{630sin(105)}{sin(30)}$
by GDC / calculator
$a = \frac{608.53....}{0.5}$
$a = 1217.06$ cm
$a \approx 1217$ cm
3. Find the unknown length $b$
$\frac{b}{sin(45)} = \frac{630}{sin(30)}$
$b = \frac{630sin(45)}{sin(30)}$
by GDC / calculator
$b = \frac{445.477...}{0.5}$
$b = 890.954...$ cm
$b \approx 891$ cm
