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?
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°.
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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:
- 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?
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Course Activity: Modeling Periodic Phenomena with Trigonometric Functions
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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
:
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Aa
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YouTube
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✰ 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
:
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