Question

# 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.

Solution

## Since the ladder forms a right angle with wall while lean on the wall,So, by Pythagoras theorem$$12^2+a^2=15^2$$$$a^2=225-144$$$$a^2=81$$$$a=9$$The distance of the ladder from the wall is $$9\ m$$.Maths

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