The value of x can be found by using the Tangent Trigonometric ratio, which is given as
[tex]\tan \theta=\frac{\text{opp}}{\text{adj}}[/tex]
From the question, we have the following values:
[tex]\begin{gathered} \theta=38\degree \\ \text{opp }=19 \\ \text{adj }=x \end{gathered}[/tex]
Substituting the values, we have
[tex]\tan 38=\frac{19}{x}[/tex]
Solving, we have:
[tex]\begin{gathered} 0.7813=\frac{19}{x} \\ \therefore \\ x=\frac{19}{0.7813} \\ x=24.31\approx24.3 \end{gathered}[/tex]
The correct answer is 24.3 units.
