Question

For triangle XYZ, let measure Y = 90.If measure Z is 29, and XY is 30.04. What is the measure of YZ?

Answer 1

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:

`\begin{gathered} \tan (Z)=(XY)/(YZ) \\ \tan (29\degree)=(30.04)/(YZ) \\ 0.5543=(30.04)/(YZ) \\ YZ=(30.04)/(0.5543) \\ YZ=54.19 \end{gathered}`