在Rt△ABC中,∵AB=2.5,BC=0.7,∴AC= AB2?BC2 = 2.52?0.72 =2.4米,又∵AA′=0.4,∴A′C=2.4-0.4=2,在Rt△A′B′C中,B′C= A′B′2?A′C2 = 2.52?22 =1.5米,则BB′=CB′-CB=1.5-0.7=0.8米.故:梯子底部B外移0.8米.