Answer
$B=21.2^{\circ}$.
$a=36.7\;m$.
$b=14.2\;m$.
Work Step by Step
The given values are
$A=68.8^{\circ}$
$c=39.4\;m$.
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 $A$.
$B=90^{\circ}-68.8^{\circ}$
Simplify.
$B=21.2^{\circ}$.
By using trigonometric ratios.
$\frac{a}{c}=\sin{A}$
Isolate $a$.
$a=c\cdot \sin{A}$
Plug all values.
$a=(39.4\;m)\cdot \sin{(68.8^{\circ})}$
By using degree calculator simplify.
$a=36.7\;m$ (rounded value).
By using trigonometric ratios.
$\frac{b}{c}=\cos{A}$
Isolate $b$.
$b=c\cdot \cos{A}$
Plug all values.
$b=(39.4\;m)\cdot \cos{(68.8^{\circ})}$
By using degree calculator simplify.
$b=14.2\;m$ (rounded value).
