15 degrees of latitude is one hour of difference in local time, during which the moon will move by 33 arc minutes (about one Moon apparent diameter). So that's the kind of accuracy we're talking about. "It's the statue, man, The Statue."
An instrument capable of sidereal measurement to 1 arc minute would result in an accuracy of 7.5 nautical miles at 45ºN
It is one thing to determine the distance between two (pointlike) starts to 1 arc minute by naked eye (with the aid of his instrument) but quite another to locate the moon to that accuracy. "It's the statue, man, The Statue."