Answer
$$b=278.3km$$
$$c=364.9km$$
Work Step by Step
To find side b, we can use the trigonometric ratio for tangent
$tanB=\frac{b}{a}$
Where
$B=49.7°$
$a=236km$
Solving for b we get:
$b=a*tanB$
$b=236km*tan(49.7°)$
$b=236km*1.1792$
$b=278.3km$
To find side c (the hypotenuse), we can use the trigonometric ratio for cosine.
$cosB=\frac{a}{c}$
Where
$B=49.7°$
$a=236km$
Solving for c we get:
$c=\frac{a}{cosB}$
$c=\frac{236km}{cos(49.7°)}$
$c=\frac{236km}{0.6468}$
$c=364.9km$
