An infinite plane does not have a traditional horizon as defined by spherical geometry, since it lacks curvature. The concept of a horizon typically involves a boundary beyond which events cannot be observed, as seen in the term "Event Horizon" related to gravity and space-time. In a classical sense, a flat plane does not conform to this definition, complicating the understanding of horizons in relation to infinite planes. However, from an observer's perspective, the "horizon" of an infinite plane would appear at eye level. This distinction highlights the differences between classical and relativistic interpretations of horizons.