SOLUTION: Triangle XYZ is right angles at Y, XY is 45 m YZ is 36 m. Using the given measures find a) cos Z b) measure of XY c) measure the angle of X d) tan X e) sin Z f) tan Z

Question 684319: Triangle XYZ is right angles at Y, XY is 45 m YZ is 36 m. Using the given measures find
a) cos Z
b) measure of XY
c) measure the angle of X
d) tan X
e) sin Z
f) tan Z
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Triangle XYZ is right angles at Y, XY is 45 m YZ is 36 m. Using the given measures find
a) cos Z
b) measure of XY
c) measure the angle of X
d) tan X
e) sin Z
f) tan Z



First we find the hypotenuse XZ using the Pythagorean theorem

c� = a� + b�  with a = XY, b = YZ, and c = XZ

XZ� = XY� + YZ�
XZ� = 45� + 36�
XZ� = 2025 + 1296
XZ� = 3321
 XZ = √3321
 XZ = √81�41
 XZ = 9√41



a) cos(Z) =  =  =  =  
b) measure of XY (That's given as 45m. Did you mean XZ? It's 9√41)
c) measure the angle of X (Find inverse tangent of  as 38.66�
d) tan(X) =  =  =  
e) sin(Z) =  =  =  =  
f) tan(Z) = =  =  =  

Edwin

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