Answer:
[tex]\dfrac{5}{2\sqrt{11}}[/tex]
Step-by-step explanation:
The trigonometric ratio cosine is defined as:
[tex]\cos(\theta) = \dfrac{\text{adjacent}}{\text{hypotenuse}}[/tex]
Plugging in the given angle and side lengths, we get:
[tex]\cos(C)=\dfrac{5}{\sqrt{44}}[/tex]
We can simplify the radical by evaluating the square root of 4:
[tex]\dfrac{5}{\sqrt{44}} = \dfrac{5}{\sqrt{4 \cdot 11}}[/tex]
[tex]\boxed{=\dfrac{5}{2\sqrt{11}}}[/tex]
