In the question, a right triangle with the 3 sides was given.
Considering angle C, the opposite = 30
Adjacent = 16
Hypothenuse = 34
The trigonometric ratio of cos is given by;
[tex]\begin{gathered} \cos \theta=\frac{\text{adjacent}}{\text{hypothenuse}} \\ \cos \text{ C = }\frac{16}{34} \\ \cos \text{ C = 0.47059} \end{gathered}[/tex]
Therefore, the trigonometrical ratio of cos C to the nearest ten-thousandth is 0.4706
