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College Algebra & Trigonometry, 2018a

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11.1. THE LAW OF SINES 477<br />

Exercises 11.1<br />

In each problem below, solve the triangle. Round side lengths to the nearest 100 th .<br />

a 125 ◦ 10<br />

30 ◦<br />

1.<br />

c A<br />

2.<br />

a<br />

32 ◦ c<br />

100 ◦ C<br />

6<br />

C<br />

98 ◦ 1000<br />

a<br />

3.<br />

A<br />

25 ◦<br />

c 4.<br />

52 ◦ 70 ◦<br />

26.7<br />

5.<br />

C<br />

b<br />

185<br />

102 ◦ 28 ◦<br />

c 6.<br />

37.5 ◦ c<br />

A<br />

40 ◦<br />

17<br />

7. ∠A =50 ◦ , ∠C =27 ◦ , a =3 8. ∠B =70 ◦ , ∠C =10 ◦ , b =5<br />

9. ∠A = 110 ◦ , ∠C =30 ◦ , c =3 10. ∠A =50 ◦ , ∠B =68 ◦ , a = 230<br />

11. ∠A =23 ◦ , ∠B = 110 ◦ , c =50 12. ∠A =22 ◦ , ∠B =95 ◦ , a = 420<br />

13. ∠B =10 ◦ , ∠C = 100 ◦ , c =11 14. ∠A =30 ◦ , ∠C =65 ◦ , b =10<br />

15. ∠A =82 ◦ , ∠B =65.4 ◦ , b =36.5 16. ∠B =28 ◦ , ∠C =78 ◦ , c =44<br />

17. ∠A =42 ◦ , ∠B =61 ◦ , a =12 18. ∠A =42.5 ◦ , ∠B =71.4 ◦ , a = 215

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