Concept:
Among the listed options, the highest (finest) spatial resolution achieved by Indian Remote Sensing (IRS) satellites is approximately \(2.5\) m, provided by satellites such as Cartosat-1.
Step 1: Compare the resolutions.
\[
\boxed{
2.5\ \text{m}
<
5.8\ \text{m}
<
10\ \text{m}
<
23.5\ \text{m}
}
\]
A smaller pixel size corresponds to a higher spatial resolution.
Step 2: Choose the best resolution.
Hence,
\[
\boxed{\text{The best spatial resolution is approximately }2.5\ \text{m}.}
\]
Therefore, the correct option is
\[
\boxed{(C).}
\]