A right triangle is shown.Which angle measure is the closest to x ?

To determine tha angle we need to notice that we know the adjacent leg and the hypotenuse. Then we can use the function:
[tex]\cos x=\frac{\text{opp}}{\text{hyp}}[/tex]Plugging the values we have and solving for x we have:
[tex]\begin{gathered} \cos x=\frac{20}{24} \\ x=\cos ^{-1}(\frac{20}{24}) \\ x=33.6 \end{gathered}[/tex]Therefore x=33.6°.