Re: TIB: American High School Math Exam thingy...
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Re: TIB: American High School Math Exam thingy...
I don't remember the number, but I can describe the question. Btw, this was
on the AMC 12, in case anyone's confused. You had a circle with center O. OB
is a radius of the circle that has a length of 1. You've got a line AB
tangent to the circle at B, and a line AO. The lengths of AB and OA are
unknown. Then you draw a line OC so that it is the angle bisector of angle
OAB, where C is a point on radius OB. Got it so far? You're supposed to
find out the length of OC. It seems like it should be 1/2, but it turns out
that its 1/(1+sin /theta/), where theta is angle BOA.
Eric Tollefson
Cmdr ERT01@aol.com