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The Piphi Wiki project is administered by the legendary piphi for supporting educational content useful to avid math students.

Problem of the Week

2008 AMC 10B, Problem 14

Triangle $OAB$ has $O=(0,0)$, $B=(5,0)$, and $A$ in the first quadrant. In addition, $\angle ABO=90^\circ$ and $\angle AOB=30^\circ$. Suppose that $OA$ is rotated $90^\circ$ counterclockwise about $O$. What are the coordinates of the image of $A$?

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