A movie theater has a 23-foot-high screen located 9 feet above your eye level. If you sit x feet back from the screen, your viewing angle, 0, is given by the function 32 - tan 9 -. 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 - 1 tan 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 V feet far back from the screen.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A movie theater has a 23-foot-high screen located 9 feet above your eye level. If you sit x feet back from the screen, your viewing angle, 0, is given by the function
1 32
.- 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
V feet far back from the screen.
Transcribed Image Text:A movie theater has a 23-foot-high screen located 9 feet above your eye level. If you sit x feet back from the screen, your viewing angle, 0, is given by the function 1 32 .- 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 V feet far back from the screen.
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