Answer
$a=88.7\;m$.
$b=163.0\;m$.
Work Step by Step
The given values are
$c=185.6\;m$
$B=61.45^{\circ}$.
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{c}=\sin{B}$
Isolate $b$.
$b=c\cdot \sin{B}$
Plug all values.
$b=(185.6\;m)\cdot \sin{(61.45^{\circ})}$
Simplify (Use degree calculator).
$b=163.0\;m$ (rounded value).
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=\cos{B}$
Isolate $a$.
$a=c\cdot \cos{B}$
Plug all values.
$a=(185.6\;m)⋅\cos{(61.45^{\circ})}$
Simplify (Use degree calculator).
$a=88.7\;m$ (rounded value).
