anonymous
  • anonymous
Use the Law of Sines to solve for c to the nearest tenth.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
Please show work so I can understand. Thanks.
Hero
  • 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?

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anonymous
  • anonymous
Yes, I got C=51.4 Thank you very much!
Hero
  • Hero
Good job.

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