STEP 1
Interpret the question.
Here, we have a right angled triangle and are given an acute angle, 22 degrees, and the hypothenuse, 12 and are asked to find the length of the side x, opposite the given acute angle.
Thus, we employ our SOH CAH TOA
STEP 2
Substitute values and figure out unknown
[tex]\begin{gathered} \sin \text{ }\theta=\frac{opposite}{hypothenuse} \\ \text{Opposite = hypothenuse }\times\sin \theta \\ \text{Opposite =}12\times\sin 22=4.495 \end{gathered}[/tex]
Therefore, side x = 4.5
