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The Law of Cosines will be used if you have all three sides (SSS) or if you hav Once you use the Law of Cosines at least once, you can use the Law of Sines nts In Exercises 1-6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state "no triangle." If two triangles exist, solve each triangle. 1. A = 32°, B = 41°, a = 20 2. A = 42°, a = 63, b = 57 3. A = 65°, a = 6, b = 7 5. C = 42°, a = 16, c = 13 %3D 4. B = 110°, a = 10, c = 16 6. a = 5.0, b = 7.2, c = 10.1 %3D %3D %3D In Exercises 7-8, find the area of the triangle having the given measurements. Round to the nearest square unit. 7. C = 36°, a = 5 feet, b = 7 feet 8. a 7 meters, b = 9 meters, c = 12 meters 9. Two trains leave a station on different tracks that make an angle of 110° with the station as vertex. The first train travels at an average rate of 50 miles per hour and the second train travels at an average rate of 40 miles per hour. How far apart, to the nearest tenth of a mile, are the trains after 2 hours? 10. Two fire-lookout stations are 16 miles apart, with station B directly east of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S56°E. The bearing from station B to the fire is S23°W. How far, to the nearest tenth of a mile, is the fire from station A? 11. A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50° and 66°, respectively. How tall, to the nearest tenth of a foot, is the tree?

The Law of Cosines will be used if you have all three sides (SSS) or if you hav Once you use the Law of Cosines at least once, you can use the Law of Sines nts In Exercises 1-6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state "no triangle." If two triangles exist, solve each triangle. 1. A = 32°, B = 41°, a = 20 2. A = 42°, a = 63, b = 57 3. A = 65°, a = 6, b = 7 5. C = 42°, a = 16, c = 13 %3D 4. B = 110°, a = 10, c = 16 6. a = 5.0, b = 7.2, c = 10.1 %3D %3D %3D In Exercises 7-8, find the area of the triangle having the given measurements. Round to the nearest square unit. 7. C = 36°, a = 5 feet, b = 7 feet 8. a 7 meters, b = 9 meters, c = 12 meters 9. Two trains leave a station on different tracks that make an angle of 110° with the station as vertex. The first train travels at an average rate of 50 miles per hour and the second train travels at an average rate of 40 miles per hour. How far apart, to the nearest tenth of a mile, are the trains after 2 hours? 10. Two fire-lookout stations are 16 miles apart, with station B directly east of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S56°E. The bearing from station B to the fire is S23°W. How far, to the nearest tenth of a mile, is the fire from station A? 11. A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50° and 66°, respectively. How tall, to the nearest tenth of a foot, is the tree?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The Law of Cosines will be used if you have all three sides (SSS) or if you hav Once you use the Law of Cosines at least once, you can use the Law of Sines nts In Exercises 1-6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state "no triangle." If two triangles exist, solve each triangle. 1. A = 32°, B = 41°, a = 20 2. A = 42°, a = 63, b = 57 3. A = 65°, a = 6, b = 7 5. C = 42°, a = 16, c = 13 %3D 4. B = 110°, a = 10, c = 16 6. a = 5.0, b = 7.2, c = 10.1 %3D %3D %3D In Exercises 7-8, find the area of the triangle having the given measurements. Round to the nearest square unit. 7. C = 36°, a = 5 feet, b = 7 feet 8. a 7 meters, b = 9 meters, c = 12 meters 9. Two trains leave a station on different tracks that make an angle of 110° with the station as vertex. The first train travels at an average rate of 50 miles per hour and the second train travels at an average rate of 40 miles per hour. How far apart, to the nearest tenth of a mile, are the trains after 2 hours? 10. Two fire-lookout stations are 16 miles apart, with station B directly east of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S56°E. The bearing from station B to the fire is S23°W. How far, to the nearest tenth of a mile, is the fire from station A? 11. A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50° and 66°, respectively. How tall, to the nearest tenth of a foot, is the tree?
Transcribed Image Text:The Law of Cosines will be used if you have all three sides (SSS) or if you hav Once you use the Law of Cosines at least once, you can use the Law of Sines nts In Exercises 1-6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state "no triangle." If two triangles exist, solve each triangle. 1. A = 32°, B = 41°, a = 20 2. A = 42°, a = 63, b = 57 3. A = 65°, a = 6, b = 7 5. C = 42°, a = 16, c = 13 %3D 4. B = 110°, a = 10, c = 16 6. a = 5.0, b = 7.2, c = 10.1 %3D %3D %3D In Exercises 7-8, find the area of the triangle having the given measurements. Round to the nearest square unit. 7. C = 36°, a = 5 feet, b = 7 feet 8. a 7 meters, b = 9 meters, c = 12 meters 9. Two trains leave a station on different tracks that make an angle of 110° with the station as vertex. The first train travels at an average rate of 50 miles per hour and the second train travels at an average rate of 40 miles per hour. How far apart, to the nearest tenth of a mile, are the trains after 2 hours? 10. Two fire-lookout stations are 16 miles apart, with station B directly east of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S56°E. The bearing from station B to the fire is S23°W. How far, to the nearest tenth of a mile, is the fire from station A? 11. A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50° and 66°, respectively. How tall, to the nearest tenth of a foot, is the tree?
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