Question

Use the Law of Sines to solve for c to the nearest tenth.

Answer 1

Please show work so I can understand. Thanks.

Answer 2

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?

Answer 3

Yes, I got C=51.4

Thank you very much!

Answer 4

Good job.