SAT Deja vu

Geometry Level 5

Let A,B,C,DA,B,C,D be points on a line in that order and AC=11,BC=5,BD=60AC=11, BC=5, BD=60. The circles with diameters AC,BDAC,BD intersect at E,FE,F. Let PP be a point on the circle with diameter ADAD such that P,FP,F are on the same side of ADAD and AP=DPAP=DP. Find PEPE

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