Given the Right Triangle XYZ, you can identify that:
[tex]\begin{gathered} XY=3.8 \\ XZ=6.5 \end{gathered}[/tex]
In order to find the measure of the angle "x", you need to use the following Inverse Trigonometric Function:
[tex]\theta=cos^{-1}(\frac{adjacent}{hypotenuse})[/tex]
In this case, you can identify that:
[tex]\begin{gathered} \theta=x \\ adjacent=XY=3.8 \\ hypotenuse=XZ=6.5 \end{gathered}[/tex]
Then, by substituting values and evaluating, you get:
[tex]x=cos^{-1}(\frac{3.8}{6.5})[/tex][tex]x\approx54\text{\degree}[/tex]
Hence, the answer is:
[tex]x\approx54\text{\degree}[/tex]
