In order to calculate the length of YZ, we can use the tangent relation of the angle Z, since the triangle is a right triangle (Y = 90):
The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle:
[tex]\begin{gathered} \tan (Z)=\frac{XY}{YZ} \\ \tan (29\degree)=\frac{30.04}{YZ} \\ 0.5543=\frac{30.04}{YZ} \\ YZ=\frac{30.04}{0.5543} \\ YZ=54.19 \end{gathered}[/tex]
