A geologist examining a road cut at this location would recognize that Layer I is

older
than Fault H. This conclusion is made through the principle of
superposition
.

The principle of superposition states that in undisturbed layers of rock, the youngest layer is at the top and the oldest layer is at the bottom. In this case, since Fault H cuts across Layer I, it means that Fault H must be younger than Layer I. Therefore, Layer I is older than Fault H.