Design a simple horizontal curve with layout coordinates for a Rural Freeway, connecting tangents formed by the following points: Origin $(5000N,6000E)$; $()1$; and $()2.$ Use maximum superelevation of $8\%$ and TAC recommended maximum friction between tires and pavement. Use chain interval on the curve of $50m.$ Use Radius rounded to $10$ th$.$ Round distances to $3dp$ of a meter and angles accuracy of at least $6dp$ of a degree.