Answer
$ a=65.38; b=46.11; B=35.2^{\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=80 \sin 54.8^{\circ} =65.38$
Now, $ b=80 \cos 54.8^{\circ}=46.11$
So, $ B=90^{\circ} - 54.8^{\circ}=35.2^{\circ}$
Thus, $ a=65.38; b=46.11; B=35.2^{\circ}$
