Answer
$a=120.6\;cm$.
$b=263.2\;cm$.
Work Step by Step
The given values are
$c=289.5\;cm$
$A=24.63^{\circ}$.
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{c}=\cos{A}$
Isolate $b$.
$b=c\cdot \cos{A}$
Plug all values.
$b=(289.5\;cm)\cdot \cos{(24.63^{\circ})}$
Simplify (Use degree calculator).
$b=263.2\;cm$ (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.
$a=(289.5\;cm)⋅sin(24.63^{\circ})$
Simplify (Use degree calculator).
$a=120.6\;cm$ (rounded value).
