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Concept explainers
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. In the figure, is the viewing angle. Suppose that you sit feet from the screen. The viewing angle is given by the function .
What is your viewing angle if you sit 10 feet from the screen? 15 feel? 20 feel?
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?
Using a graphing utility, graph .
What value of results in the largest viewing angle?
![Check Mark](/static/check-mark.png)
To find:
a. What is your viewing angle if you sit 10 feet from the screen? 15 feet? 20 feet?
Answer to Problem 76AYU
a.
Explanation of Solution
Given:
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. In the figure, is the viewing angle. Suppose that you sit feet from the screen. The viewing angle is given by the function,
Calculation:
a. What is your viewing angle if you sit 10 feet from the screen?
What is your viewing angle if you sit 15 feet from the screen?
What is your viewing angle if you sit 20 feet from the screen?
![Check Mark](/static/check-mark.png)
To find:
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?
Answer to Problem 76AYU
b. Fourth row.
Explanation of Solution
Given:
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. In the figure, is the viewing angle. Suppose that you sit feet from the screen. The viewing angle is given by the function,
Calculation:
b. The viewing angle in the first row (5feet),
The viewing angle in the second row (8feet),
The viewing angle in the third row (11feet),
The viewing angle in the fourth row (14feet),
The viewing angle in the fifth row (17feet),
The viewing angle in the sixth row (20 feet),
The largest viewing angle in fourth row.
![Check Mark](/static/check-mark.png)
To find:
c. What value of results in the largest viewing angle?
Answer to Problem 76AYU
c. 14 feet.
Explanation of Solution
Given:
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. In the figure, is the viewing angle. Suppose that you sit feet from the screen. The viewing angle is given by the function,
Calculation:
c.
14 feet is in the largest viewing angle.
Chapter 7 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th Edition)
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (3rd Edition)
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