Ski Slope using Energy Conservation

[merzperson]

Homework Statement

It's been a great day of new, frictionless snow. Julie starts at the top of the 60 degree slope shown in the figure . At the bottom, a circular arc carries her through a 90 turn, and she then launches off a 3.0--high ramp. How far horizontally is her touchdown point from the end of the ramp?

Homework Equations

Ug = mgh
K = 0.5mv²
Kinematics equations

The Attempt at a Solution

I know I need to use energy conservation to find the kinetic energy at the end of the ramp so I can find the velocity of the skier then, but I do not know how I can find Ug at the top of the ramp without knowing the skier's mass (too many unknowns). Once I know the initial Ug or Kmax I know how to solve the problem, but I'm having trouble getting there.

 

[ehild]

Never mind the mass, it will cancel. Just use m for the mass or any number you like.

ehild

 

[merzperson]

Thanks ehild, got it.

 

[zachmac5]

Just wondering how the launch angle is determined in this question?