If you look at the "S" shape of the neck in this photo, you can estimate the strike range by imagining it straightened out. If It was also lifting its head and making more curves, it would signify that it was even more prepared to defend itself.... bravery can often be confused for foolishness, so I'm glad that you could tell the difference!
Now adding math into the mix. Mind blown. That could be a cool game show. Do a math problem while a snake may or may not be getting ready to bite your face.
That sounds like a good game. I'll try to make a pilot episode later this week when I get home!