stile

 rhymes with "mile"

 A structure built into or over a fence or wall that allows people to pass through while keeping livestock enclosed. Stiles come in many forms — stone steps, wooden ladder steps, squeeze gates, kissing gates — and are among the most quietly civilized features of the rural English and Welsh landscape. They are invitations: the land beyond is open to you on foot, but the animals stay put.
Etymology
 Old English stigel, from stīgan, to climb. Related to German Steig, a path. The word means "the climbing place."
agriculture/grazing human settlement Old English trail
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