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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter11: Addition And Subtraction Of Decimal Fractions
Section: Chapter Questions
Problem 11A
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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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