In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.   Part A What are the independent and dependent variables? Part B Determine these key features of the function that models the tide: amplitude period frequency midline vertical shift phase shift Part C Create a trigonometric function that models the ocean tide for a period of 12 hours. Part E What is the height of the tide after 93 hours?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

Modeling Ocean Tides

In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0.
 

Part A

What are the independent and dependent variables?

Part B

Determine these key features of the function that models the tide:

  1. amplitude
  2. period
  3. frequency
  4. midline
  5. vertical shift
  6. phase shift

Part C

Create a trigonometric function that models the ocean tide for a period of 12 hours.

Part E

What is the height of the tide after 93 hours?

 

 
 
 
 
 
 
 
个
D
Aa
Netflix
Hola
Home | bartleby
• R D
YouTube
×
✰ f2.app.edmentum.com/courseware-delivery//ua/26434/100000646/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXItdWkvc2Vjb25kYXJ5L3VzZXItYXNzaWdubWVudC8yNjQzNC9sYXVuY2hwYWQvMTAwMDA...
American School Lo... B Brainly.com - For st...
Graded Activity
Course Activity: Modeling Periodi X y! how to take a screenshot - Yahoo X +
Duolingo | Learn Ch...
Crunchyroll - Watch... ✪ #generel
Course Activity: Modeling Periodic Phenomena with Trigonometric Functions
O
h(t)
-10
Ay
10
14 16
--8
-10
h(t)
+12
+10
J
6 8
-10
10 12 14 16
18
20
22
20 22
My Meetings - Zoom
26 28 30
Spotify - Web Player
Soundtrap - Make...
21 of 22
Home - Roblox
Save & Exit
G Crochet Super Scarf...
I
X
:
Transcribed Image Text:个 D Aa Netflix Hola Home | bartleby • R D YouTube × ✰ f2.app.edmentum.com/courseware-delivery//ua/26434/100000646/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXItdWkvc2Vjb25kYXJ5L3VzZXItYXNzaWdubWVudC8yNjQzNC9sYXVuY2hwYWQvMTAwMDA... American School Lo... B Brainly.com - For st... Graded Activity Course Activity: Modeling Periodi X y! how to take a screenshot - Yahoo X + Duolingo | Learn Ch... Crunchyroll - Watch... ✪ #generel Course Activity: Modeling Periodic Phenomena with Trigonometric Functions O h(t) -10 Ay 10 14 16 --8 -10 h(t) +12 +10 J 6 8 -10 10 12 14 16 18 20 22 20 22 My Meetings - Zoom 26 28 30 Spotify - Web Player Soundtrap - Make... 21 of 22 Home - Roblox Save & Exit G Crochet Super Scarf... I X :
个
D
Aa
Netflix
Hola
Home | bartleby
| 24
YouTube
×
✰ f2.app.edmentum.com/courseware-delivery//ua/26434/100000646/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXItdWkvc2Vjb25kYXJ5L3VzZXItYXNzaWdubWVudC8yNjQzNC9sYXVuY2hwYWQvMTAwMDA...
Crunchyroll - Watch... → #generel American School Lo... B Brainly.com - For st...
Graded Activity
Course Activity: Modeling Periodi X y! how to take a screenshot - Yahoo X +
Duolingo | Learn Ch...
Course Activity: Modeling Periodic Phenomena with Trigonometric Functions
? Question
Select the correct answer.
Choose the correct graph of the function.
h (x)
- 6 sin 2
=
+10
-10
-12
h(t)
-- +18
+16
-14
-12
-10,
2
4
6
8 10
8
10
12
14
16
18
18
20 22
My Meetings - Zoom
20 22
Spotify - Web Player
Soundtrap - Make...
21 of 22
Home - Roblox
Save & Exit
G Crochet Super Scarf...
I
X
:
Transcribed Image Text:个 D Aa Netflix Hola Home | bartleby | 24 YouTube × ✰ f2.app.edmentum.com/courseware-delivery//ua/26434/100000646/aHR0cHM6Ly9mMi5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXItdWkvc2Vjb25kYXJ5L3VzZXItYXNzaWdubWVudC8yNjQzNC9sYXVuY2hwYWQvMTAwMDA... Crunchyroll - Watch... → #generel American School Lo... B Brainly.com - For st... Graded Activity Course Activity: Modeling Periodi X y! how to take a screenshot - Yahoo X + Duolingo | Learn Ch... Course Activity: Modeling Periodic Phenomena with Trigonometric Functions ? Question Select the correct answer. Choose the correct graph of the function. h (x) - 6 sin 2 = +10 -10 -12 h(t) -- +18 +16 -14 -12 -10, 2 4 6 8 10 8 10 12 14 16 18 18 20 22 My Meetings - Zoom 20 22 Spotify - Web Player Soundtrap - Make... 21 of 22 Home - Roblox Save & Exit G Crochet Super Scarf... I X :
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning