Starting a new set! This group is from 2002. As with the previous ones, I'll post two at a time so you won't be tempted to work through all 41 at once. You have to eat, you know. Just looking out for your basic health.
Difficulty: Until you see it, "What?" When you see it, "D'oh!"
Simple geometry and two nifty trigonometric doodads.
Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest
answer 01 and answer 41.