Answer
$a=111\;cm$.
$b=231\;cm$.
Work Step by Step
The given values are
$c=256\;cm$
$A=25.6^{\circ}$.
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{c}=\cos{A}$
Isolate $b$.
$b={c}\cdot \cos{A}$
Plug all values.
$b=({256\;cm})\cdot \cos{(25.6^{\circ})}$
Simplify (Use degree calculator).
$b=231\;cm$ (rounded value).
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=\sin{A}$
Isolate $a$.
$a=c\cdot \sin{A}$
Plug all values.
$a=(256\;cm)\cdot \sin{(25.6^{\circ})}$
Simplify (Use degree calculator).
$a=111\;cm$ (rounded value).
