[tex]\theta\text{ = 23}[/tex]
To find the value of theta, we have to use the appropriate trigonometric identity
We have the side facing the right angle, called the hypotenuse
We also have the third not side facing the angle given which is the adjacent
The ratio between the adjacent and the hypotenuse is called the cosine
So, the cosine of the angle is equal to the adjacent sides length divided by the hypotenuse
We have this as;
[tex]\begin{gathered} \cos \theta\text{ = }\frac{60}{65} \\ \\ \theta\text{ = }\cos ^{-1}\frac{60}{65} \\ =\text{ 23} \end{gathered}[/tex]
