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Nanning university yuxuan
∵PO⊥ BCD,

∴ o is OE⊥BD, connecting PE,

∴∠PEO is the plane angle of dihedral angle P-BD-C,

∵ quadrilateral ABCD is a rectangle,

∴BC⊥CD,DA⊥AB,

∫ point a moves to point p,

∴PD⊥PB,

And the projection of point p on the plane BCD is on the CD,

∴ Make PO⊥CD after point P,

∴PO⊥ BCD,

∴BC⊥ PCD,

∴PD⊥ People's Bank,

∴PD⊥PC,

∴△CPD is Rt△,

AB = 6,BC=23,

∴PC=26,PO=22

In Rt△DPB, PD=23, PB=6, BD=43.

∴PE=3,

∴sin∠PEO=POPE= 13,

So the answer is: 13.