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.
According to this principle, a geological feature (like a fault or an intrusion) that cuts across another feature is younger than the feature it cuts through. Since Layer I cuts horizontally through layers B, D, E, F, G, and J, it must be younger than those layers, including Fault H.