Eagles are fuging assholes though. They piss me off.
Just don't stop for long. If I hear one, I just keep hauling ass. I get tired of getting swooped on. Especially when I'm being attacked by a damn rhino because one happens to be nearby when I'm taking out a hostage taker for karma. That's one thing I don't necessarily like much about this game. My only real gripe. Passive animals that won't attack you, like rhinos or yaks, will attack if you shoot anywhere near them.
I've gotten where I use the syringe that makes animals avoid you almost all the time. Had to pick a poo ton of leaves due to it, but it's keeping me from losing my mind.