Answer
$a=4564 \; m$
$c=13170 \; m$
Work Step by Step
The given values are
$b=12,350\; m$
$B=69.72^{\circ}$
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{c}=\sin{B}$
Isolate $c$.
$c=\frac{b}{\sin{B}}$
Plug all values.
$c=\frac{12,350\; m}{\sin{69.72^{\circ}}}$
Simplify (Use degree calculator).
$c=13170 \; m$ (rounded value).
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{a}=\tan{B}$
Isolate $a$.
$a=\frac{b}{\tan{B}}$
Plug all values.
$a=\frac{12,350\; m}{\tan{69.72}}$
Simplify (Use degree calculator).
$a=4564 \; m$ (rounded value).
