解:作EG⊥DC,FH⊥DC,G、H分别为垂足,∵EF∥DC,∴∠EGH=∠FHG=∠EFH=90°,∴四边形EFHG是矩形;∴GH=EF=3.8,设大堤加高xm,则EG=FH=xm,∵i1= EG DG = 1 1.2 ,i2= FH CH = 1 0.8 ,∴DG=1.2xm,HC=0.8xm,∵DG+GH+HC=CD=6m,∴1.2x+3.8+0.8x=6,解得:x=1.1.∴大堤加高了1.1m.故答案为:1.1.