由题意知AB=10米,AC=8米,在直角△ABC中,BC= AB2?AC2 =6米,当顶端下滑2米,即即CA1=6米,则在直角△CA1B1中,A1B1=AB=10米,∴CB1= ( B1A1)2?CA12 =8米,底端滑动距离为CB1-CB=8米-6米=2米.答:梯子底端滑动2米.