College Algebra & Trigonometry, 2018a

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8.3. SOLVING TRIANGLES 363 Example 3 Solve the triangle. Round side lengths to the nearest 100 th and angles to the nearest 10 th of a degree. 22 ◦ 10 ′ 40 If we convert the angle 22 ◦ 10 ′ to 22.16 ◦ , then the other acute angle in the right triangle is 90 ◦ − 22.16 ◦ =67.83 ◦ or 67 ◦ 50 ′ . Finding the remaining sides requires the use of either the cosine or tangent function. cos 22.16 ◦ = 40 c Approximating cos 22.16 ◦ on a calculator: 0.9261 ≈ 40 c Next we need to multiply on both sides by c: c ∗ 0.9261 ≈ 40 c ∗c 0.9261c ≈ 40 Then divide on both sides by 0.9261: 0.9261c 0.9261 ≈ 40 0.9261 c ≈ 43.2
364 CHAPTER 8. RIGHT TRIANGLE TRIGONOMETRY To find the other leg of the triangle, we can use the tangent ratio. tan 22.16 ◦ = a 40 Approximating tan 22.16 ◦ on a calculator: 0.4074 ≈ a 40 Then, multiply on both sides by 40: 40 ∗ 0.4074 ≈ a 16.3 ≈ a We can check this answer by the Pythagorean Theorem: 16.3 2 +40 2 = 1865.69 √ 1865.69 ≈ 43.2
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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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12 CHAPTER 1. ALGEBRA REVIEW 2(x +3
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30 CHAPTER 1. ALGEBRA REVIEW Then,
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32 CHAPTER 1. ALGEBRA REVIEW We can
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40 CHAPTER 1. ALGEBRA REVIEW devise
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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140 CHAPTER 3. EXPONENTS AND LOGARI
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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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196 CHAPTER 4. FUNCTIONS 8) 12 10 8
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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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206 CHAPTER 4. FUNCTIONS So the gra
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208 CHAPTER 4. FUNCTIONS Stretching
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210 CHAPTER 4. FUNCTIONS Multiplyin
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214 CHAPTER 4. FUNCTIONS 3) Match e
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216 CHAPTER 4. FUNCTIONS 6) f(x) 7)
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218 CHAPTER 4. FUNCTIONS Being fami
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222 CHAPTER 4. FUNCTIONS 4.6 Piecew
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242 CHAPTER 4. FUNCTIONS 8) A recta
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244 CHAPTER 4. FUNCTIONS So, our fi
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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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254 CHAPTER 4. FUNCTIONS The graph
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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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438 CHAPTER 10. TRIGONOMETRIC IDENT
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472 CHAPTER 11. THE LAW OF SINES TH
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College Algebra & Trigonometry, 2018a

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