Answer
The two trains are 147.9 miles apart.
Work Step by Step
The first train traveled 100 miles in 2 hours; the second train traveled 80 miles in 2 hours.
Now, to find the distance between the trains, use the cosine formula, that is,
$\begin{align}
& {{c}^{2}}={{a}^{2}}+{{b}^{2}}-2ab\,\cos \,C \\
& {{c}^{2}}={{100}^{2}}+{{80}^{2}}-2\left( 100 \right)\left( 80 \right)\cos \,110{}^\circ \\
& {{c}^{2}}=21,872.32229 \\
& c=147.9
\end{align}$
Here, $c=147.9$ is the distance between two trains.
