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Use the Law of Sines or the Law of Cosines to find the required part of the triangle. 11. 14/102 12. 13. 16 25 120 15

Use the Law of Sines or the Law of Cosines to find the required part of the triangle. 11. 14/102 12. 13. 16 25 120 15

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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How do i solve the triangles?
Use the Law of Sines or the Law of Cosines to find the required part of the triangle. 1. 12. 13. 14 102 11 34 16 25° 120 15 14. 10 15. 16. 72 120 18 65 Draw and label a triangle similar to the one in the examples. Use the given information to find the required part(s). 17. mZA = 40°, mZB = 88°, a = 15. Find b. 18. m/B = 75°, a = 13, c = 14. Find b. 19. mZB = 50°, m/C = 60°, b = 9. 20. mZA = 62°, m2C = 28°, c = 24. Find a. Find a. 21. mZA = 51°,c = 8, b = 12. 22. mzB = 34°, a = 4, b = 3. Find a. Find c. 23. a=9,b= 12, c = 15. 24. m/B = 96°, mZA = 32°, a = 6. Find c. Find mZB. 25. m2C = 18°, m/B = 54°, b = 18. Find c. 26. a = 15, b = 12, c = 14. Find m/C. 27. mzC = 76°, a = 39. B = 19. Find c. 28. mZA = 30°, m2C = 60°, a = 8. Find b. 29. a = 34, b = 38, c = 31. Find m/B. 30. a = 8, b = 16, c = 7. Find m2C. 31. m2C = 84°, m/B = 23°, c = 11. Find b. 32. mZA = 36°, m/B = 68°, b = 8. Find a and c. 33. mzB = 40°, b = 4, and c = 6. Find a, mZA , and m2C. 34. a= 2, b = 3, c = 4. Find mZA , mZB , and m/C. 35. Marco wants to cut a sheet of plywood to fit over the top of his triangular sandbox. One angle measures 38°, and it is between sides with lengths 14 feet and 18 feet. What is the length of the third side? 36. From the planet Xentar, Dweeble can see the stars Quazam and Plibit. The angle between these two sites is 22°. Dweeble knows that Quazam and Plibit are 93,000,000 miles apart. He also knows that when standing on Plibit, the angle made from Quazam to Xentar is 39°. How far is Xentar from Quazam? 72 Core Connections Geometry
Transcribed Image Text:Use the Law of Sines or the Law of Cosines to find the required part of the triangle. 1. 12. 13. 14 102 11 34 16 25° 120 15 14. 10 15. 16. 72 120 18 65 Draw and label a triangle similar to the one in the examples. Use the given information to find the required part(s). 17. mZA = 40°, mZB = 88°, a = 15. Find b. 18. m/B = 75°, a = 13, c = 14. Find b. 19. mZB = 50°, m/C = 60°, b = 9. 20. mZA = 62°, m2C = 28°, c = 24. Find a. Find a. 21. mZA = 51°,c = 8, b = 12. 22. mzB = 34°, a = 4, b = 3. Find a. Find c. 23. a=9,b= 12, c = 15. 24. m/B = 96°, mZA = 32°, a = 6. Find c. Find mZB. 25. m2C = 18°, m/B = 54°, b = 18. Find c. 26. a = 15, b = 12, c = 14. Find m/C. 27. mzC = 76°, a = 39. B = 19. Find c. 28. mZA = 30°, m2C = 60°, a = 8. Find b. 29. a = 34, b = 38, c = 31. Find m/B. 30. a = 8, b = 16, c = 7. Find m2C. 31. m2C = 84°, m/B = 23°, c = 11. Find b. 32. mZA = 36°, m/B = 68°, b = 8. Find a and c. 33. mzB = 40°, b = 4, and c = 6. Find a, mZA , and m2C. 34. a= 2, b = 3, c = 4. Find mZA , mZB , and m/C. 35. Marco wants to cut a sheet of plywood to fit over the top of his triangular sandbox. One angle measures 38°, and it is between sides with lengths 14 feet and 18 feet. What is the length of the third side? 36. From the planet Xentar, Dweeble can see the stars Quazam and Plibit. The angle between these two sites is 22°. Dweeble knows that Quazam and Plibit are 93,000,000 miles apart. He also knows that when standing on Plibit, the angle made from Quazam to Xentar is 39°. How far is Xentar from Quazam? 72 Core Connections Geometry
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