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What is the cosine ratio of angle XZW?

im not sure if its 12 square root for and under that is 24 or if its 12 and under that 12 square root 3 ?

 

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 May 26, 2015

Best Answer 

 #1
avatar+130466 
+5

XZW = 30°    and this is an equilateral triangle, so each side = 24

 

So.....

 

cos(30)   =  WZ / XZ  

 

√3/2  = WZ / 24       multiply both sides by 24

 

(24√3)/2  =  12√3   = WZ

 

So....

 

cos XZW  =WZ / XZ =  (12√3) / 24  = (12/24)√3  = (1/2)√3  =  √3/2    

 

 

 May 26, 2015
 #1
avatar+130466 
+5
Best Answer

XZW = 30°    and this is an equilateral triangle, so each side = 24

 

So.....

 

cos(30)   =  WZ / XZ  

 

√3/2  = WZ / 24       multiply both sides by 24

 

(24√3)/2  =  12√3   = WZ

 

So....

 

cos XZW  =WZ / XZ =  (12√3) / 24  = (12/24)√3  = (1/2)√3  =  √3/2    

 

 

CPhill May 26, 2015

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