x = 11.61
Explanation:Using an illustration:
To get x, we will use trigonometry ratio SOHCAHTOA
Since we know the hypotenuse and we are to find the adjacent, then cosine ratio (CAH) will be appropriate:
[tex]\cos \text{ 34}\degree\text{ = }\frac{adjacent}{\text{hypotenuse}}[/tex][tex]\begin{gathered} \cos \text{ 34}\degree\text{ = }\frac{x}{14} \\ x\text{ = 14(cos 34}\degree) \\ x\text{ = 14(}0.8290)\text{ = 11.6065} \\ x\text{ = 11.61 (2 decimal place)} \end{gathered}[/tex]
