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A section of highway has vertical and horizontal curves with the same design speed. A vertical curve on this highway connects a +1% and

 

A section of highway has vertical and horizontal curves with the same design speed. A vertical curve on this highway connects a +1% and a +3% grade and is 420 ft long. If a horizontal curve on this highway is on a two-lane section with 12-ft lanes and has a central angle of 37 degrees and a super elevation of 6%, what is the length of the horizontal curve?

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