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High marks in the golden mathematics examination paper are rewarded quickly.
As shown in the figure, AC = EF = 2.5m, BC = 0.7m and AE=0.4. Find the length of cf.

In Rt△ABC,

∵AC=2.5, BC=0.7, which is obtained by Pythagorean theorem.

∴AB=2.4,

AE = 0.4,

∴BE=AB-AE=2,

EF = 2.5,

∴ BF= 1.5 by Pythagorean theorem,

BC = 0.7,

∴CF=0.8.

That is, the bottom of the ladder will slide 0.8 meters.

The answer to the second question is 5.