Correct solutions were received from Jeremy Light, Jill Grosso, Daniel Marquette, Scott Hoffmeyer, Patrick Shea. Further correct solutions were received from Juan Carlos Marivela, Ron Welch, Juan Carlos Carrara, Paul Botham, Alan O'Donnell.
Triangles
ABC and ADC are equivalent so DC has length 2, while angles BAC and DAC have
measure arctan(2). The points which will hit the wall lie in the blue
shaded region having central angle p - 2arctan(2) =
.92... radians.
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