A vehicle is travelling with the design speed of 75 km/hr on a highway located in a hilly terrain. What will be the length of transition curve (in meter corrected up to 2 decimal points) needed on a horizontal curve having radius of 200 m. The width of the road after inclusion of the required widening is found out to be 7.75 m. Assume, the pavement is rotated about the centre line while providing the required super-elevation.