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Determining the best place to sit at the movies based on a set of criteria.
A movie theater has a screen that is positioned 10 feet off the floor and is 25 feet high. The first row of seats is placed 9 feet from the screen and the rows are 3 feet apart. The floor of the seating area is inclined at an angle above the horizontal and the distance up the incline that you sit is x. The theater has 21 rows of seats.
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Suppose you decide that the best place to sit is in the row where the angle subtended by the screen at your eyes is a maximum. Let's also suppose that your eyes are 4 feet above the floor.
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Use a graph of theta as a function of x to estimate the value of x that maximizes theta.
In which row should you sit? What is the viewing angle theta in this row?View Full Posting Details