A vertical summit curve on a freight corridor is formed at the intersection of two gradients, $+3.0 \%$ and $-5.0 \%$.
Assume the following:
Only large-sized trucks are allowed on this corridor
Design speed $=80 \mathrm{kmph}$
Eye height of truck drivers above the road surface $=2.30 \mathrm{~m}$
Height of object above the road surface for which trucks need to stop $=0.35 \mathrm{~m}$
Total reaction time of the truck drivers $=2.0 \mathrm{~s}$
Coefficient of longitudinal friction of the road $=0.36$
Stopping sight distance gets compensated on the gradient
The design length of the summit curve (in meters) to accommodate the stopping sight distance is $\_\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).