Answer
$ a=91.86;c=100.39; A=66.2^{\circ}$
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
$ A=90^{\circ} -23.8^{\circ}=66.2^{\circ}$
Now, $ a=40.5 \tan 66.2^{\circ} =91.86$
So, $ c=\dfrac{40.5}{\cos 66.2^{\circ}}=100.39$
Thus, $ a=91.86;c=100.39; A=66.2^{\circ}$
