5) Movie Theater Screens Suppose that a movie theater has a screen that is 28 feet tall. When you sit down, the bottom of the screen is 6 feet above your eye level. The angle formed by drawing a line from your eye to the bottom of the screen and another line from your eye to the top of the screen is called the viewing angle. 0 is the viewing angle. Suppose that you sit x feet from the screen. The viewing angle 0 is given by the function 0(x) ) - tan- tan-1 a. What is your viewing angle if you sit 10 feet from the screen? b. If there are 5 feet between the screen and the first row of seats and there are 3 feet between each row and the row behind it, which row results in the largest viewing angle?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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5) Movie Theater Screens Suppose that a movie theater has a screen that is 28 feet tall.
When you sit down, the bottom of the screen is 6 feet above your eye level. The angle
formed by drawing a line from your eye to the bottom of the screen and another line from
your eye to the top of the screen is called the viewing angle. 0 is the viewing angle.
Suppose that you sit x feet from the screen. The viewing angle 0 is given by the function
0(x)
(*) - tan-
()
= tan
|
a. What is your viewing angle if you sit 10 feet from the screen?
b. If there are 5 feet between the screen and the first row of seats and there are 3
feet between each row and the row behind it, which row results in the largest
viewing angle?
Transcribed Image Text:5) Movie Theater Screens Suppose that a movie theater has a screen that is 28 feet tall. When you sit down, the bottom of the screen is 6 feet above your eye level. The angle formed by drawing a line from your eye to the bottom of the screen and another line from your eye to the top of the screen is called the viewing angle. 0 is the viewing angle. Suppose that you sit x feet from the screen. The viewing angle 0 is given by the function 0(x) (*) - tan- () = tan | a. What is your viewing angle if you sit 10 feet from the screen? b. If there are 5 feet between the screen and the first row of seats and there are 3 feet between each row and the row behind it, which row results in the largest viewing angle?
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