see the attached picture.
Extending a line from point P down to the origin, you can see a right triangle of sides sqrt(3) and 1. General trig (SOH CAH TOA or 1,2,sqrt3 rule) will tell you that this is a 30 60 90 triangle. And the 1,2,sqrt(3) rule tells you that the hypotenuse is twice the shortest side. So the hypotenuse (i.e. the radius) is 2.
The angle opposite the side measured 1 is 30 degrees and the angle opposite the side measured sqrt(3) is 60 degrees (This is a general rule for a 30-60-90 triangle).
Extending another line from point Q down to the origin we have another right triangle. The angle in that triangle that's closest to the origin can be determined: 180 - (30 +90) = 60 degrees. Two angles of that right triangle are known so we can determine that the third angle is 30 degrees.
We have another 30-60-90 triangle with hypotenuse= 2 (remember it's the radius). So the shortest side (side opposite angle 30 degrees) is 1 (S) and the side opposite angle 60 degrees is sqrt(3) (T).
S is just the length of the shortest side which we determined to be 1. Hence B
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Last edited by jrbrown2 on Wed Nov 21, 2007 1:12 pm, edited 2 times in total.
