Solution to Fun with Fundamentals Puzzler: Badger banter

As if air travel weren't bad enough, Roger the Badger is passed through the X-ray machine at security.

The hinges on his carrier come open, leaving the poor dear traveling on a conveyor heading for a swift downward curve.

What is the angle θ at which Roger begins to leave the surface?

θ = 86.4° ... how humiliating.

Try the next puzzle: Taste Test.