Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the mouth of the harbour. a. Find the amplitude of the function. b. Find the period of the function. Model this as a cosine function. c. Find the horizontal shift.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the mouth of the harbour.

a. Find the amplitude of the function.

b. Find the period of the function.

Model this as a cosine function.

c. Find the horizontal shift.

d. Find the vertical shift.

e. Write down the equation of the function for the depth of the water in terms of m and h.

f. Calculate the depth of the water at 9:30am. Ben’s boat can only get in and out of the harbour when there is at least 4m of water at the mouth of the harbour. Ben sleeps until 10am.

g. Find the next time he can go fishing. 

8.
6.
2
4.
6.
8.
10 12
14
16 18 20
22 24
Hours after midnight (h)
(w) yndəg
Transcribed Image Text:8. 6. 2 4. 6. 8. 10 12 14 16 18 20 22 24 Hours after midnight (h) (w) yndəg
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d. Find the vertical shift.

e. Write down the equation of the function for the depth of the water in terms of m and h.

f. Calculate the depth of the water at 9:30am. Ben’s boat can only get in and out of the harbour when there is at least 4m of water at the mouth of the harbour. Ben sleeps until 10am.

g. Find the next time he can go fishing. 

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