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In triangle XYZ, Z = 90, cos Y = 7/29, and XY = 28. What is tan X?

 Aug 3, 2022
 #1
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X

                 28

 

Z                            Y

 

cos Y =   ZY / XY

 

7/29  = ZY / 28

 

(28 * 7) / 29 = ZY  =  196/ 29

 

XZ =  sqrt (28^2  -  (196/29)^2)   =  (168)sqrt (22) / 29

 

Tan X =    ZY / XZ =      (196/29) / [ 168 sqrt (22) / 29] =    196 /  [168 sqrt (22)]  =

 

7/ [6sqrt (22) ] =

 

7 sqrt 22  / ( 6 * 22)  =

 

7sqrt (22)  / 138

 

 

cool cool cool

 Aug 3, 2022

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