^^^ Too funny...and they probably weren't too woolly either, if they were actually goats.
I ran into a cow once on my bike back home in N AZ once, as I was coming over a rise on a small mountain path (Thumbutte, for those who know N AZ). I had almost come to a complete stop, so I didn't hit him hard, but the path was really narrow, and it was either hit the cow or go off a steep rock outcropping...and the cow actually looked like the softer impact between my options.

Both cow and myself were unharmed...