Answer: We are asked to find the trigonometric ratio tan(z) as a reduced fraction.
[tex]\tan (Z)=\frac{Opposite}{\text{Adjacent}}[/tex]
From the given triangle, we have the following:
[tex]\tan (Z)=\frac{Opposite}{\text{Adjacent}}=\frac{30}{16}=\frac{15}{8}[/tex]
Therefore , the answer in the reduced fraction is:
[tex]\frac{15}{8}[/tex]
