Answer
$ a=17.70; c=26.71; B=48.5^{\circ}$
Work Step by Step
Here, we have $ A=41.5^{\circ}$ ; $ b= 20$
Since, $\tan \theta= \dfrac{Opposite}{Adjacent}$
$ a=20 \tan 41.5^{\circ} =17.70$
Now, $ c=\dfrac{b}{\cos A}=\dfrac{20}{\cos 41.5^{\circ}}=26.71$
So, $ B=90^{\circ} -41.5^{\circ}=48.5^{\circ}$
Thus, $ a=17.70; c=26.71; B=48.5^{\circ}$