Answer
$A= 90^\circ$
$b \approx 0.34$
$c \approx 0.94$
Work Step by Step
Step 1. Using the given conditions, we have $A=180-70-20=90^\circ$
Step 2. Using the Law of Sines, we have $\frac{b}{sin20^\circ}=\frac{c}{sin70^\circ}=\frac{1}{sin90^\circ}$
Step 3. Thus $b=\frac{sin20^\circ}{sin90^\circ} \approx 0.34$ and $c=\frac{sin70^\circ}{sin90^\circ}\approx 0.94$
