At night, a parachutist landed on the spot , which is and away from the two straight and mutually perpendicular roads and respectively (see the picture). From the landing point, the parachutist walks straight in a random direction at the constant speed of . What is the probability that he reaches one of the roads in less than an hour? Round the result to decimal places.
Hint: In the case of linear motion with constant speed, the speed is equal to the ratio of the displacement and the time of motion.