# A ladder 10 m lon

Given: Height of the window from the ground = 8 m

Length of the ladder = 10 m

To find: Distance of the foot of the ladder from the base of the wall.

Consider the following diagram corresponding to the question.

Here, AB = Height of the window form the ground = 8 m

AC = Length of the ladder = 10 m

BC = Distance of the foot of the ladder from the base of the wall

Now, in ∆ ABC,

By Pythagoras theorem, we have

AC2 = AB2 + BC2

BC2 = AC2 – AB2

BC2 = (10)2 – (8)2 = 100 – 64 = 36

BC = √36 = 6 m

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