what is x? how would i find the value of x?

We will use the definition of the cosine function of an angle as follows:
[tex]cos(x)=\frac{adjacentside}{hypothenuse}=\frac{2}{5.7}[/tex]Now, let's solve the latter equation for "x" using the inverse cosine:
[tex]\cos^{-1}(\frac{2}{5.7})=x[/tex]The answer is: x=69