To find the value of x we need to remember the definition of the tangent function:
[tex]\tan \theta=\frac{\text{opp}}{\text{adj}}[/tex]
In this case the opposite leg is x and the adjacent leg is 20, plugging this values into the equation above we have:
[tex]\begin{gathered} \tan 52=\frac{x}{20} \\ x=20\tan 52 \\ x=25.6 \end{gathered}[/tex]
Therefore x=25.6
