Answer
$a\approx 13.74$
$c\approx 14.62$
$A=70$ degrees
Work Step by Step
We are given:
$C=90$ degrees
$b=5$
$B=20$ degrees
Determine $a$:
$\tan B=\dfrac{b}{a}$
$a\cdot \tan{B}=b$
$a=\dfrac{b}{\tan B}$
$a=\dfrac{5}{\tan 20}\\$
$a\approx 13.74$
Determine $c$:
$\sin B=\dfrac{b}{c}$
$c\cdot \sin{B}=b$
$c=\dfrac{b}{\sin B}$
$c=\dfrac{5}{\sin 20}$
$c\approx 14.62$
Determine angle $A$:
$A+B=90$
$A=90-B$
$A=90-20$
$A=70$ degrees
