As Darth Vader is watching the tide at the beach. The height of the tide follows a sinusoidal curve with time. Darth Vader starts watching the tide at midnight. It takes 4 hours for the tide to reach its highest point 10 feet from the sea wall that is behind Darth Vader. After 8 hours, the tide reaches it lowest point which is 40 feet from the seawall. a. First, sketch a graph of the sinusoid. You must include at least one full period. b. Then, create an equation to represent the tide's distance from the seawall, as a function of time. You may use sine or cosine. c. What is the tide's height after 10 hours? d. How much time has passed at the 1st time the tide is 31 feet from the seawall?
As Darth Vader is watching the tide at the beach. The height of the tide follows a sinusoidal curve with time. Darth Vader starts watching the tide at midnight. It takes 4 hours for the tide to reach its highest point 10 feet from the sea wall that is behind Darth Vader. After 8 hours, the tide reaches it lowest point which is 40 feet from the seawall. a. First, sketch a graph of the sinusoid. You must include at least one full period. b. Then, create an equation to represent the tide's distance from the seawall, as a function of time. You may use sine or cosine. c. What is the tide's height after 10 hours? d. How much time has passed at the 1st time the tide is 31 feet from the seawall?
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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Transcribed Image Text:As Darth Vader is watching the tide at the beach. The height of the tide follows a
sinusoidal curve with time. Darth Vader starts watching the tide at midnight. It takes 4
hours for the tide to reach its highest point 10 feet from the sea wall that is behind Darth
Vader. After 8 hours, the tide reaches it lowest point which is 40 feet from the seawall.
a. First, sketch a graph of the sinusoid. You must include at least one full period.
b. Then, create an equation to represent the tide's distance from the seawall, as a
function of time. You may use sine or cosine.
c. What is the tide's height after 10 hours?
d. How much time has passed at the 1st time the tide is 31 feet from the seawall?
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