Answer:
D. [tex] Cos(Z) = \frac{5}{13} [/tex]
Step-by-step explanation:
Using trigonometric ratios formula, thus:
[tex] Cos(Z) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = Z
Adjacent = 10
Hypotenuse = 26
Plug in the values into the formula
[tex] Cos(Z) = \frac{10}{26} [/tex]
Simplify
[tex] Cos(Z) = \frac{5}{13} [/tex]