College Algebra & Trigonometry, 2018a

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8.4. APPLICATIONS 373 N W 60 ◦ E S Sixty degrees West of North: N60 ◦ W Example 4 Santa Rosa, California is 7 miles due north of Rohnert Park. Bodega Bay is 19 miles due west of Rohnert Park (as the crow flies). What is the bearing of Santa Rosa from Bodega Bay? First, it would be helpful to draw a diagram to represent the situation: Santa Rosa Bodega Bay 19 mi. 7 mi. Rohnert Park To answer the question we’ll need another diagram: N Santa Rosa W θ Bodega Bay E S
374 CHAPTER 8. RIGHT TRIANGLE TRIGONOMETRY If we knew the angle θ, then we could conclude that the bearing of Santa Rosa from Bodega Bay is θ degrees East of North. From the previous diagram: Santa Rosa α Bodega Bay 7 mi. 19 mi. Rohnert Park we can see that we can’t find θ directly, but we can find the complement of θ. tan α = 7 19 α ≈ 20.2 ◦ Therefore, θ ≈ 90 ◦ − 20.2 ◦ ≈ 69.8 ◦ That means that the bearing of Santa Rosa from Bodega Bay is N69.8 ◦ E, or 69.8 ◦ East of North.
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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190 CHAPTER 4. FUNCTIONS by substit
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192 CHAPTER 4. FUNCTIONS 4.2 Domain
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194 CHAPTER 4. FUNCTIONS Exercises
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198 CHAPTER 4. FUNCTIONS We can use
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200 CHAPTER 4. FUNCTIONS 3) 20 16 1
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202 CHAPTER 4. FUNCTIONS Vertical S
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204 CHAPTER 4. FUNCTIONS Now, if, i
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208 CHAPTER 4. FUNCTIONS Stretching
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218 CHAPTER 4. FUNCTIONS Being fami
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242 CHAPTER 4. FUNCTIONS 8) A recta
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248 CHAPTER 4. FUNCTIONS Distance O
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250 CHAPTER 4. FUNCTIONS The graph
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252 CHAPTER 4. FUNCTIONS Distance/T
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256 CHAPTER 4. FUNCTIONS 3) A power
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258 CHAPTER 5. CONIC SECTIONS - CIR
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288 CHAPTER 6. SEQUENCES AND SERIES
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College Algebra & Trigonometry, 2018a

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