Shortest Road
Public  12/29/17  7xp  Math  55.6% 
A river forming a bend has the following shape:
 bank b1 passes at points (0,0) and (9,9)
 bank b2 passes at point (0,2) and is parallel to b1
 bank b4 passes at points (0,13) and (9,9)
 bank b3 passes at point (0,12) and is parallel to b4
We want to build a road between points A (2,15) and B (7,2)
The constraint is that bridges over the river must be perpendicular to the banks.
What is the shortest possible distance (A,B) ?
Give your answer rounded to 10 digits after the decimal point.
 bank b1 passes at points (0,0) and (9,9)
 bank b2 passes at point (0,2) and is parallel to b1
 bank b4 passes at points (0,13) and (9,9)
 bank b3 passes at point (0,12) and is parallel to b4
We want to build a road between points A (2,15) and B (7,2)
The constraint is that bridges over the river must be perpendicular to the banks.
What is the shortest possible distance (A,B) ?
Give your answer rounded to 10 digits after the decimal point.
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