Idea: In a push-broom sensor, one line on the ground is imaged at a time by an array of $N$ detectors. The ground-projected width (GSD) per detector equals total swath divided by the number of detectors.
Compute spatial resolution (GSD).
Swath $=30~\text{km}=30{,}000~\text{m}$, $N=3000$.
\[
\text{GSD}=\frac{30{,}000~\text{m}}{3000}=10~\text{m}.
\]
\[
\boxed{10~\text{m}}
\]