AMC 10 Step by Step
2008 AMC 10BProblem 14P11-15~3 minPrint

Triangle OABOAB has O=(0,0)O=(0,0) , B=(5,0)B=(5,0) , and AA in the first quadrant. In addition, ABO=90\angle ABO=90^\circ and AOB=30\angle AOB=30^\circ . Suppose that OAOA is rotated 9090^\circ counterclockwise about OO . What are the coordinates of the image of AA ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.