The Small Angle Approximation Interview

Engineers are interviewing a tiny groundhog for the position of "small angle approximation" and the poor mathematician is having an aneurysm. For those who slept through calculus, when an angle is very small, its sine approximately equals the angle itself (in radians). Engineers run with this approximation like it's gospel truth, while mathematicians twitch uncontrollably at such blasphemy. The groundhog, blissfully unaware it's being used to represent θ, is just happy someone's pointing a microphone at it. This is the fundamental difference between theoretical and applied sciences - one needs absolute precision, the other just needs something that works well enough to build a bridge that probably won't collapse.