解:∵OA⊥DA,CE⊥DA,∴∠CED=∠OAB=90°,∵CD∥OE,∴∠CDA=∠OBA,∴△AOB∽△ECD,∴ CE DE = OA AB , 1.6 2 = OA 20 ,解得OA=16.故选D.