The triangle is shown below:
Using the Cosine Trigonometric Ratio,
[tex]\cos \theta=\frac{\text{adj}}{\text{hyp}}[/tex]
We can substitute the values as follows:
[tex]\cos 64=\frac{3.7}{x}[/tex]
Solving, we have
[tex]\begin{gathered} 0.4384=\frac{3.7}{x} \\ \therefore \\ x=\frac{3.7}{0.4384} \\ x=8.4 \end{gathered}[/tex]
The value of x is 8.4
