Exam Maths Puzzle Numerical Ability

In a rectangular room of dimension 14ft X 16ft.. nails are drive in the middle of the north east, south and west facing walls at heights of 7,5,4 and 1 feet respectively from the ground Two strings ar tied tightly. between tha nails on walls facing each other. what is the vertical distance(in ft.) between the two strings where one passes over the other ?

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