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A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.

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Let AC be the ladder and A be the window. 

Given: AC = 15 m, AB = 12 m, CB = a m 

In right angled triangle ACB,

Thus, the distance of the foot of the ladder from the wall is 9m.

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