Criterion C - Communication The Advanced Version In most modern theaters, the floor is not flat. Using what you learned in your investigation of the simple version, briefly discuss why movie theater floors are built at an angle. Now, assume that the theater has a floor that makes a 25° angle with the horizontal. Everything else about the theater is the same. Find the best row, and compute how much greater your viewing angle is here, compared with the best seat in the theater with the flat floor. Name b 0° BBBB LLLLL 25° a More helpful suggestions: 1. Notice that in the simple version, when x changed our eyes simply moved back horizontally. Now, the height of our eyes also changes when x changes. Look at the triangle formed by the floor and level ground and write the coordinates of your eyes (distance back from the front and up from level ground) in terms of x. 2. Now write expressions for the distance from your eyes to the bottom of the screen (marked a) and eyes to the top of the screen (call it b) in terms of x. 3. Recall that when we know the lengths of 3 sides of any triangle, we can use the Law of Cosines to find any angle. You can guess which one we care about: find . 4. Don't forget to use appropriate forms of representation to communicate your presentation of the information. 22
Criterion C - Communication The Advanced Version In most modern theaters, the floor is not flat. Using what you learned in your investigation of the simple version, briefly discuss why movie theater floors are built at an angle. Now, assume that the theater has a floor that makes a 25° angle with the horizontal. Everything else about the theater is the same. Find the best row, and compute how much greater your viewing angle is here, compared with the best seat in the theater with the flat floor. Name b 0° BBBB LLLLL 25° a More helpful suggestions: 1. Notice that in the simple version, when x changed our eyes simply moved back horizontally. Now, the height of our eyes also changes when x changes. Look at the triangle formed by the floor and level ground and write the coordinates of your eyes (distance back from the front and up from level ground) in terms of x. 2. Now write expressions for the distance from your eyes to the bottom of the screen (marked a) and eyes to the top of the screen (call it b) in terms of x. 3. Recall that when we know the lengths of 3 sides of any triangle, we can use the Law of Cosines to find any angle. You can guess which one we care about: find . 4. Don't forget to use appropriate forms of representation to communicate your presentation of the information. 22
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
Related questions
Question
Transcribed Image Text:Criterion C - Communication
The Advanced Version
In most modern theaters, the floor is not flat.
Using what you learned in your investigation
of the simple version, briefly discuss why
movie theater floors are built at an angle.
Now, assume that the theater has a floor that
makes a 25° angle with the horizontal.
Everything else about the theater is the same.
Find the best row, and compute how much
greater your viewing angle is here, compared
with the best seat in the theater with the flat
floor.
Name
b
0°
BBBB
LLLLL
25°
a
More helpful suggestions:
1. Notice that in the simple version, when x changed our eyes simply moved back
horizontally. Now, the height of our eyes also changes when x changes. Look at the
triangle formed by the floor and level ground and write the coordinates of your eyes
(distance back from the front and up from level ground) in terms of x.
2. Now write expressions for the distance from your eyes to the bottom of the screen
(marked a) and eyes to the top of the screen (call it b) in terms of x.
3. Recall that when we know the lengths of 3 sides of any triangle, we can use the Law of
Cosines to find any angle. You can guess which one we care about: find .
4. Don't forget to use appropriate forms of representation to communicate your
presentation of the information.
22
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