The Solution:
Given:
We are asked to find the value of x.
By applying the Trigonometrical Ratio, we have:
[tex]\begin{gathered} \sin42.8=\frac{opp}{hypotenuse}=\frac{x}{20.9} \\ \\ \sin42.8=\frac{x}{20.9} \end{gathered}[/tex]
Cross multiplying, we get
[tex]x=20.9\sin42.8=14.2003\approx14.20[/tex]
Therefore, the correct answer is 14.20
