# 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, $$\theta$$, 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 $$\theta$$.
• Ignore air resistance.

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