A geologist examining a road cut at this location would recognize that Layer I is younger than Fault H. This conclusion is made through the principle of cross-cutting relationships.
The principle of cross-cutting relationships states that if a geological feature (such as a fault or an intrusion) cuts through another feature, the feature being cut is older than the feature that is doing the cutting. In this case, since Layer I cuts through Fault H, it suggests that Layer I must have formed after Fault H.