Answer
The value of $ b $ to the nearest tenth is $8.0$.
Work Step by Step
As the angle $ B $ is provided, so, by using the Law of Sines to find $ b $, we get:
$\begin{align}
& \frac{b}{\sin B}=\frac{a}{\sin A} \\
& \frac{b}{\sin 68{}^\circ }=\frac{4.8}{\sin 34{}^\circ } \\
& b=\frac{4.8\sin 68{}^\circ }{\sin 34{}^\circ } \\
& \approx 8.0
\end{align}$
Hence, the value of $ b $ is 8.0
