College Algebra & Trigonometry, 2018a

554 CHAPTER 11. THE LAW OF SINES THE LAW OF COSINES
Section 11.1
1. ∠A =25 ◦ , ∠B =30 ◦ , ∠C = 125 ◦ 3. ∠A =57 ◦ , ∠B =25 ◦ , ∠C =98 ◦
a ≈ 8.45,b=10,c≈ 16.4 a = 1000,b≈ 503.91,c≈ 1180.76
5. ∠A = 102 ◦ , ∠B =28 ◦ , ∠C =50 ◦ 7. ∠A =50 ◦ , ∠B = 103 ◦ , ∠C =27 ◦
a = 185,b≈ 88.79,c≈ 144.88 a =3,b≈ 3.82,c≈ 1.78
9. ∠A = 110 ◦ , ∠B =40 ◦ , ∠C =30 ◦ 11. ∠A =23 ◦ , ∠B = 110 ◦ , ∠C =47 ◦
a ≈ 5.64,b≈ 3.86,c=3
a ≈ 26.71,b≈ 64.24,c=50
13. ∠A =70 ◦ , ∠B =10 ◦ , ∠C = 100 ◦ 15. ∠A =82 ◦ , ∠B =65.4 ◦ , ∠C =32.6 ◦
a ≈ 10.50,b≈ 1.94,c=11 a ≈ 39.75,b=36.5,c≈ 21.63
17 ∠A =42 ◦ , ∠B =61 ◦ , ∠C =77 ◦
a =12,b≈ 15.69,c≈ 17.47
Section 11.2
1. ∠A =50 ◦ , ∠B ≈ 28.6 ◦ , ∠C ≈ 101.4 ◦ 3. ∠A =43 ◦ , ∠B ≈ 59.3 ◦ , ∠C ≈ 77.7 ◦
a =32,b=20,c≈ 40.95 a =23,b=29,c≈ 32.95
∠A =43 ◦ , ∠B ≈ 120.7 ◦ , ∠C ≈ 16.3 ◦
a =23,b=29,c≈ 9.47
5. no real solution 7. ∠A ≈ 59.8 ◦ , ∠B =24 ◦ , ∠C ≈ 96.2 ◦
a =17,b=8,c≈ 19.55
∠A ≈ 120.2 ◦ , ∠B =24 ◦ , ∠C ≈ 35.8 ◦
a =17,b=8,c≈ 11.51
9. ∠A = 108 ◦ , ∠B ≈ 33.7 ◦ , ∠C ≈ 38.3 ◦ 11. ∠A =42 ◦ , ∠B ≈ 113.9 ◦ , ∠C ≈ 24.1 ◦
a =12,b=7,c≈ 7.82
a =18,b≈ 24.59,c=11