A movie theater has a 29-foot-high screen located 9 feet above your eye level. If you sit x feet back from the screen, 38 your viewing angle, 0, is given by the function tan tan The graph of this function is shown to the right. Use the graph to describe what happens to your viewing angle as you move farther back from the screen. How far back from the screen, to the nearest foot, should you sit to maximize your viewing angle? Verify this observation by finding the viewing angle one foot closer to the screen and one foot farther from the screen for this ideal viewing distance. [0,50,10] by [0,1,0.1] To maximize his viewing angle, the viewer needs to sit about feet far back from the screen.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter2: Functions And Their Graphs
Section: Chapter Questions
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I have a question, on how this problem could mean when finding the angle with the figure shown, and the given function?

A movie theater has a 29-foot-high screen located 9 feet above your eye level. If you sit x feet back from the screen,
38
your viewing angle, 0, is given by the function tan
. The graph of this function is shown to the right.
tan
Use the graph to describe what happens to your viewing angle as you move farther back from the screen. How far back
from the screen, to the nearest foot, should you sit to maximize your viewing angle? Verify this observation by finding
the viewing angle one foot closer to the screen and one foot farther from the screen for this ideal viewing distance.
[0,50,10] by [0,1,0.1]
To maximize his viewing angle, the viewer needs to sit about
feet far back from the screen.
Transcribed Image Text:A movie theater has a 29-foot-high screen located 9 feet above your eye level. If you sit x feet back from the screen, 38 your viewing angle, 0, is given by the function tan . The graph of this function is shown to the right. tan Use the graph to describe what happens to your viewing angle as you move farther back from the screen. How far back from the screen, to the nearest foot, should you sit to maximize your viewing angle? Verify this observation by finding the viewing angle one foot closer to the screen and one foot farther from the screen for this ideal viewing distance. [0,50,10] by [0,1,0.1] To maximize his viewing angle, the viewer needs to sit about feet far back from the screen.
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