Since we have a right triangle and the hypotenuse is in front of the right angle, then the tangent of angle X is given by
[tex]\tan X=\frac{36}{27}[/tex]
then, applying the inverse function on both sides, we get
[tex]\begin{gathered} X=\tan ^{-1}(\frac{36}{27}) \\ X=\tan ^{-1}(1.3333) \end{gathered}[/tex]
then, we have
[tex]X=53.13\text{ degre}es[/tex]
By rounding down to the nearest integer, the answer is 53 degrees
