Step 1
To find the value of x we will use the trig ratio SOHCAHTOA. For this question, we are given the hypothenuse and we are required to find the adjacent. Therefore, we will use the trigonometric ratio CAH.
Step 2
Find the value of x
[tex]\begin{gathered} \cos \theta=\frac{adjacent}{\text{hypothenuse}} \\ \theta=64^{\degree} \\ \text{adjacent}=x \\ \text{hypothenuse}=11 \end{gathered}[/tex][tex]\begin{gathered} \cos 64=\frac{x}{11} \\ 11(\cos 64)=x \\ x=4.822082615 \\ x\approx4.8\text{ to the nearest tenth} \end{gathered}[/tex]
Hence, approximately to the nearest tenth, x=4.8
