Answer
$ b=64.84;A=9.8^{\circ}; B=80.2^{\circ}$
Work Step by Step
The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
$\sin A=\dfrac{11.2}{65.8}=0.1702$
$\implies A=9.8^{\circ}$
So, $ B=90^{\circ}- 9.8^{\circ}=80.2^{\circ}$
Thus, $ b=64.84;A=9.8^{\circ}; B=80.2^{\circ}$
