The value of x is:
20.556 degrees.
We are asked to find the angle x such that we are given a tangent trigonometric function corresponding to the angle x as follows:
[tex]\tan x=\dfrac{3}{8}[/tex]
Now, on taking inverse trigonometric function on both the sides of the equation we have:
[tex]x=\tan^{-1} \dfrac{3}{8}[/tex]
This means that:
[tex]x=20.556\ \text{degrees}[/tex]