Hi guys. Iv got a real fun one for you today. Its actually a physics question but its solved using math equations (substitution or elimination)

A skier on a slope inclined at 4.7 degrees to the horizontal pushes on ski poles and starts down the slope. The initial speed is 2.7 m/s. The coefficient of kinetic friction between skis and snow is 0.11. Determine how far the skier will slide before coming to a rest.

We can consttruct a triangle with that and figure out FG parallel(Pa) and FG perpendicular(Pe). so

Im not sure what to construct my other equation from. Id appreciate help. Thanks guys