On a particular Labor Day, the high tide in Southern California occurs at 7:12 A.M. At that time you measure the water at the end of the Santa Monica Pier to be 11 ft deep. At 1:24 P.M. it is low tide, and you measure the water to be only 7 ft deep. Assume the depth of the water is a sinusoidal function of time with a period of 1/2 a lunar day, which is about 12 hr 24 min.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 67E
icon
Related questions
Question
On a particular Labor Day, the high tide in Southern
California occurs at 7:12 A.M. At that time you measure
the water at the end of the Santa Monica Pier to be 11 ft
deep. At 1:24 P.M. it is low tide, and you measure the
water to be only 7 ft deep. Assume the depth of the
water is a sinusoidal function of time with a period of
1/2 a lunar day, which is about 12 hr 24 min.
1. At what time on that Labor Day does the first low
tide occur?
2. What was the approximate depth of the water at
4:00 A.M. and at 9:00 P.M.?
3. What is the first time on that Labor Day that the
water is 9 ft deep?
1.
2.
3.
OL O
Transcribed Image Text:On a particular Labor Day, the high tide in Southern California occurs at 7:12 A.M. At that time you measure the water at the end of the Santa Monica Pier to be 11 ft deep. At 1:24 P.M. it is low tide, and you measure the water to be only 7 ft deep. Assume the depth of the water is a sinusoidal function of time with a period of 1/2 a lunar day, which is about 12 hr 24 min. 1. At what time on that Labor Day does the first low tide occur? 2. What was the approximate depth of the water at 4:00 A.M. and at 9:00 P.M.? 3. What is the first time on that Labor Day that the water is 9 ft deep? 1. 2. 3. OL O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning