Concept:
LISS-IV (Linear Imaging Self Scanner-IV) onboard Resourcesat-2 is a high-resolution multispectral sensor used for detailed resource mapping.
Step 1: Recall the spatial resolution.
The multispectral spatial resolution of LISS-IV is
\[
\boxed{5.8\ \text{m}}
\]
which enables detailed mapping of land use, agriculture, and natural resources.
Step 2: Identify the correct option.
Hence,
\[
\boxed{\text{Resourcesat-2 LISS-IV has a spatial resolution of }5.8\ \text{m}.}
\]
Therefore, the correct option is
\[
\boxed{(A).}
\]