Due to a high traffic accident number on an intersection, it was decided to install a traffic light control system. However, this intersection is located after a horizontal curve on a major highway. The clear distance between the bent and intersection is $150$m$.$ If the speed limit is $100$ km$/$hr and the highway has a downgrade of $2\%.$ Will drivers have enough stop sight distance when the traffic light turns red? If not, what will be your recommendation to improve the stopping distance. Assume $2\mathrm{.}5$ sec as the perception reaction time.