A passenger car is traveling at \(v_{0}=11.1 \mathrm{~m} / \mathrm{s}\) downhill along a road of slope \(15^{\circ}\). At a certain instant it brakes by locking all wheels simultaneously until it comes to a stop. The dynamic coefficient of friction between tires and asphalt is \(\mu_{d}=0.75\). Calculate the distance it travels, while braking, before stopping. The passenger car is without Anti-lock Braking System (ABS).