Answer
$a=7.119 \; km$
$b=1.881 \; km$
Work Step by Step
The given values are
$c=7.363\; km$
$B=14.80^{\circ}$
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{c}=\sin{B}$
Isolate $b$.
$b=\sin{B}\cdot c$
Plug all values.
$b=\sin{(14.80^{\circ})}\cdot (7.363\; km)$
Simplify (Use degree calculator).
$b=1.881 \; km$ (correct to three decimal places).
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=\cos{B}$
Isolate $a$.
$a=\cos{B}\cdot c$
Plug all values.
$a=\cos{(14.80^{\circ})}\cdot (7.363\;km)$
Simplify (Use degree calculator).
$a=7.119 \; km$ (correct to three decimal places).
