Trigonometry Problem

tonypr

This was problem #5 at a high school math competition at my school today, in the contest you have 5 minutes to solve this problem(not written exactly as in the competition because I don't have the paper but that's basically the problem):

5) Given a right triangle $ABC$ , with the right angle on C such that $AC=2-\sqrt{3}+\dfrac{1}{11}$ and $BC=1-\dfrac{2}{11}+\dfrac{\sqrt{3}}{11}$ . Find $\angle B$ given that $\tan{\dfrac{\pi}{12}}=2-\sqrt{3}$

**Posted:** Fri Nov 06, 2009 6:17 pm

_________________
Math in trivial problem solving

modularmarc101

Yeah, I had figured it out just a tad bit too late Sad

.

Solution

**Posted:** Fri Nov 06, 2009 7:36 pm

_________________
Goals: 140+ AMC 10 | 7+ AIME | 10+ USAJMO | 65+ USAMTS (Bronze Medal) |