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In ∆XYZ sin⁡〖X=2/3〗 , sin⁡〖Z=1/4〗 and the length of side X is 31 find the length of side Z.

 Mar 28, 2015

Best Answer 

 #1
avatar+130518 
+5

Using the Law of Sines, we have

31 / sin X  = Z / sin Z

31 / (2/3)  = Z / (1/4)  simplify

93/2 = 4Z     divide both sides by 4

93/8 = Z = 11.625 

 

  

 Mar 28, 2015
 #1
avatar+130518 
+5
Best Answer

Using the Law of Sines, we have

31 / sin X  = Z / sin Z

31 / (2/3)  = Z / (1/4)  simplify

93/2 = 4Z     divide both sides by 4

93/8 = Z = 11.625 

 

  

CPhill Mar 28, 2015

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