Answer
$B=39.4^{\circ}$.
$a=37.9\;m$.
$b=31.1\;m$.
Work Step by Step
The given values are
$A=50.6^{\circ}$
$c=49.0\;m$.
In a right angle triangle sum of other two angles is $90^{\circ}$.
$A+B=90^{\circ}$
Isolate $B$.
$B=90^{\circ}-A$
Plug value of $A$.
$B=90^{\circ}-50.6^{\circ}$
$B=39.4^{\circ}$.
By using trigonometric ratios.
$\frac{a}{c}=\sin{A}$
Isolate $a$.
$a=c\cdot \sin{A}$
Plug all values.
$a=(49.0\;m)\cdot \sin{(50.6^{\circ})}$
By using degree calculator simplify.
$a=37.9\;m$ (rounded value).
By using trigonometric ratios.
$\frac{b}{c}=\cos{A}$
Isolate $b$.
$b=c\cdot \cos{A}$
Plug all values.
$b=(49.0\;m)\cdot \cos{(50.6^{\circ})}$
By using degree calculator simplify.
$b=31.1\;m$ (rounded value).
