Answer
$a=161.7 \; mi$
$b=197.9 \; mi$
Work Step by Step
The given values are
$c=255.6\; mi$
$A=39.25^{\circ}$
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{c}=\cos{A}$
Isolate $b$.
$b=\cos{A}\cdot c$
Plug all values.
$b=cos{(39.25^{\circ})}\cdot (255.6\; mi)$
Simplify (Use degree calculator).
$b=197.9 \; mi$ (correct to one decimal place).
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=\sin{A}$
Isolate $a$.
$a=\sin{A}\cdot c$
Plug all values.
$a=\sin{(39.25^{\circ})}\cdot (255.6\;mi)$
Simplify (Use degree calculator).
$a=161.7 \; mi$ (correct to one decimal place).
