i Register
In some senses, eyeshot is marked as archaic, idiomatic. Watch for register when choosing this word.
noun
A range of vision, a distance in which something is visible.
He likes his mother to sit off by the side, though--out of eyeshot of the door. "
"We were alarmed," says Aimee Sordelli, who lives within eyeshot of the school's chimney. "
A range.
A brief glance.
The woman smothered his instant fear with an eyeshot of horror.