Solution to Problem 174


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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2003 Alberto L. Delgado