We have the big ones here, the Eastern Coyotes, that are genetically a red wolf/coyote cross. Some are as big as a German Shepard. So far all they hunt are regular prey but that can include calves and goats. Most cattle farmers here keep donkeys to keep them run off. Most goats are kept close to the house.
They're not that big here in Michigan, unlike the ones I've seen out in N.W. Kansas while pheasant hunting.
Had one charge out of a plumb thicket at me (Not charging me, it was flushed out by a fellow hunter on the other side of the thicket)
The thing was indeed the size of a big German Shepherd and when it saw me, it swerved and took off. Watching it cross the field, it must have run a quarter mile full speed before it stopped briefly and turned around to look at me. Then it took off again and just kept going.
Out in that part of the country, they stay as far away from man as they possibly can because they know they'll be shot on sight if the farmer has a rifle.