Answer
$b=6.2\;mi$.
$c=19.3\;mi$.
Work Step by Step
The given values are
$a=18.3\;mi$
$A=71.2^{\circ}$.
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=\sin{A}$
Isolate $c$.
$c=\frac{a}{ \sin{A}}$
Plug all values.
$c=\frac{18.3\;mi}{ \sin{(71.2^{\circ})}}$
Simplify (Use degree calculator).
$c=19.3\;mi$ (rounded value).
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{b}=\tan{A}$
Isolate $b$.
$b=\frac{a}{ \tan{A}}$
Plug all values.
$b=\frac{18.3\;mi}{ \tan{(71.2^{\circ})}}$
Simplify (Use degree calculator).
$b=6.2\;mi$ (rounded value).
