Step 1: Observed the right-angled triangle and right out the parameters
[tex]\begin{gathered} \text{From the right-angled triangle with reference to angle x} \\ \text{opposite is unknown} \\ \text{adjacent is 4.6} \\ \text{hypothenuse is 8.6} \end{gathered}[/tex]
Step 2: State the trigonometry that will suit the given parameters
[tex]\sin ce\text{ adjacent and hypothenuse is given, we use cosine property}[/tex][tex]\begin{gathered} \cos x=\frac{4.6}{8.6} \\ \cos x=0.53488 \end{gathered}[/tex][tex]\begin{gathered} x=\cos ^{-1}0.53488 \\ x=57.66^0 \\ x=57.7^0(nearest\text{ tenth)} \end{gathered}[/tex]
Hence, x is 57.7°
