## What is the length of the ladder that will reach from the ground over the fence to the wall of the building?

A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? ______ft

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the inclination must be 45°

the foot of the ladder is 8 ft from the fence and 12 ft from the building

the length is 12√2

(the ladder is the diagonal of the square with a 12 ft side)