We are asked to determine the value of the angle. To do that we will use the function cosine, since this is defined as:
[tex]\cos \theta=\frac{adjacent}{hypotenuse}[/tex]
Replacing the values:
[tex]\cos \theta=\frac{12}{13}[/tex]
Now we use the inverse function of cosine to get the angle:
[tex]\theta=\cos ^{-1}(\frac{12}{13})[/tex]
Solving the operation:
[tex]\theta=22.62[/tex]
Therefore, the angle is 23 degrees approximately.
