College Algebra & Trigonometry, 2018a

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11.4. APPLICATIONS 507 4. An airplane leaves airport A and travels 520 miles to airport B at a bearing of N35 ◦ W . The plane leaves airport B and travels to airport C 310 miles away at a bearing of S65 ◦ W from airport B. Find the distance from airport A to airport C. 5. Two planes take off at the same time from an airport. The first plane flies at 300 mph at a bearing of S45 ◦ E. The second plane is flying at a bearing of S5 ◦ W with a speed of 330 mph. How far apart are they after 3 hours? 6. Two planes leave an airport at the same time. Their speeds are 180 mph and 110 mph, and the angle between their flight paths is 43 ◦ . How far apart are they after 2.5 hours? 7. Two ships leave a harbor entrance at the same time. The first travels at a speed of 23 mph and the second travels at 17 mph. If the angle between the courses of the ships is 110 ◦ , how far apart are they after one hour? 8. A ship leaves the entrance to a harbor and travels 15 miles with a bearing S10 ◦ W , then turns and travels 45 miles with a bearing of N43 ◦ W . How far from the harbor entrance is the ship and what is the bearing of the ship from the harbor? 9. A steep mountain is inclined 77 ◦ to the horizontal and rises 3000 feet above the surrounding plain. A cable car is to be installed that will connect the plain to the top of the mountain. The distance from the foot of the mountain to the cable car entry loading area is 1200 feet (see diagram below). Find the shortest necessary length of the cable. 3000 ft 1200 feet cable car loading area 77 ◦
508 CHAPTER 11. THE LAW OF SINES THE LAW OF COSINES 10. A tree on a hillside casts a shadow 208 ft down the hill. If the angle of inclination of the hillside is 25 ◦ to the horizontal and the angle of elevation of the sun is 51 ◦ , find the height of the tree. 51 ◦ 25 ◦ 208 ft
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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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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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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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208 CHAPTER 4. FUNCTIONS Stretching
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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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College Algebra & Trigonometry, 2018a

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