A Math Forum Project

Geometry Forum Problem of the 
Week

    Jill and Jimmy - At the Movies - April 4-8, 1994

    Jill and Jimmy are going to the movies with their friends Joaquin and Juanita. When they get inside the theater, Joaquin says that he believes it is best to sit so that the angle formed by the line of sight between the left and right sides of the screen is 30 degrees. Furthermore, he says that there's only one seat in the theater for which this is true. Juanita tells him that he is wrong - there are other places where the viewing angle is 30 degrees as well. Who's right? Why?

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    Correct solutions to the problem were submitted by:

    • Hilary Aleksa Grade 9, Fairfield High School
    • Allison Sullivan Grade 9, Fairfield High School
    • Other solutions were received from the following students at Fairfield High School:
                Grade 9                Grade 10
                Lindsey Becker      Elissa Colter
                Amy DeCrescenza     Emily Leamy
                Scott Dwyer         Natalie Painchaud
                Molly MacDonald     Nghiem Vu
                Kathy Medlin            
                Rebecca Naughton
                Heather Wilcox
                
    • --------
    • Dale Carothers Grade 10, Shaler Area School District
    • Drew Ludwig Grade 10, Shaler High School
    • Pete DeFilippo Grade 10, Shaler High School
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2 July 1995