Answer
$C = 39˚$
$a \approx 7.8$ m
$b \approx 10.8$ m
Work Step by Step
1. Find the missing angle $C$
$C + 95 + 46 = 180$
$C + 141 = 180$
$C = 39˚$
2. Find the missing length $a$
$\frac{a}{sin(46)} = \frac{6.8}{sin(39)}$
$a = \frac{6.8sin(46)}{sin(39)}$
by GDC / calculator
$a = \frac{4.89...}{0.629...}$
$a = 7.772...$ m
$a \approx 7.8$ m
3. Find the missing length $b$
$\frac{b}{sin(95)} = \frac{6.8}{sin(39)}$
$b = \frac{6.8sin(95)}{sin(39)}$
by GDC / calculator
$b = \frac{6.77...}{0.629...}$
$b = 10.76...$ m
$b \approx 10.8$ m
