Jack and Jill on a Hill

Jack and Jill are standing on a large hill, as shown above. Jill, being a mischievous girl, throws a stone at Jack to break his crown. At what angle, θ\theta, with the inclined plane (in degrees) must Jill aim the stone so that it lands closest to Jack?

Details and Assumptions

  • The hill is sufficiently large, so the stone does not reach Jack for any value of θ\theta.
  • Ignore air resistance.

Inspired by my Physics Teacher

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