## anonymous 4 years ago Use the Law of Sines to solve for c to the nearest tenth.

1. anonymous

2. anonymous

Please show work so I can understand. Thanks.

3. Hero

In general, when solving for the unknown sides or angles of triangles, you can use the Law Sines formula: $\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$, where Angle A is opposite side a, Angle B is opposite side b, and Angle C is opposite side c. When using Law Of Sines, you only use two fractions at a time in the form of a proportion with one unknown component to solve for. In this case, Angle A (44°), side a (36), Angle C(83°) are given, and side c is unknown, therefore you use the proportion: $\frac{\sin A}{a} = \frac{\sin C}{c}$ to solve for c. Do you believe you can continue to solve from here?

4. anonymous

Yes, I got C=51.4 Thank you very much!

5. Hero

Good job.