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What is the measure of ∠C, to the nearest degree?

22°

43°

47°

68°

 May 15, 2018
 #1
avatar+102372 
+2

We can use the Law of Sines,here

 

sin 61 / 45  = sin C  / 35      multiply both sides by 35

 

35 * sin 61 / 45  = sin C

 

(35 / 45) sin 61  = sin C

 

(7/9)sin 61  = sin C

 

Use the sine inverse to  find  C

 

arcsin  [ (7/9) sin 61 ]  = C  ≈   42.86° = 43°

 

 

 

cool cool cool

 May 15, 2018
edited by CPhill  May 15, 2018

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