ANSWER:
[tex]\theta=62.73\text{\degree}[/tex]
STEP-BY-STEP EXPLANATION:
We can calculate the value of the angle by means of the trigonometric ratio sine which is the following
[tex]\begin{gathered} \sin \theta=\frac{\text{opposite }}{\text{ hypotenuse}} \\ \text{opposite = 24} \\ \text{hypotenuse = 27} \end{gathered}[/tex]
Replacing and solving for the angle:
[tex]\begin{gathered} \sin \theta=\frac{24}{27} \\ \theta=\arcsin (\frac{24}{27}) \\ \theta=62.73\text{\degree} \end{gathered}[/tex]
