Answer
$ a=4.35; c=10.9; B=66.5^{\circ}$
Work Step by Step
Here, we have $ A= 23.5^{\circ}$ ; $ b= 10$
Since, $\tan \theta= \dfrac{Opposite}{Adjacent}$
$ a= b \tan A =10 \tan 23.5^{\circ} =4.35$
Now, $ c=\dfrac{b}{\cos A}=\dfrac{10}{\cos 23.5^{\circ}}=10.9$
So, $ B=90^{\circ} -23.5^{\circ}=66.5^{\circ}$
Thus, $ a=4.35; c=10.9; B=66.5^{\circ}$