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Math Help - gravitational work and potential energy

  1. #1
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    gravitational work and potential energy

    A professional skier reaches a speed of 56 m/s on a 30 ski slope. Ignoring friction, what was the minimum distance along the slope the skier would have had to travel, starting from rest?

    how is the answer 320m?
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  2. #2
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    mgh = \frac{1}{2}mv^2

    h = \frac{v^2}{2g} = \frac{56^2}{19.6} = 160

    now us the fact that for a 30-60-90 triangle, hypotenuse length = twice short side length
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