x=28 (Yup you're correct)
Step-by-step explanation:
As this problem is involving the Opposite angle and the Hypotenuse, we can use the sin function in order to solve this. The setup is as follows
![sin(30)=\frac{14}{x}](/tpl/images/0499/5787/8287e.png)
Now we can solve for x
![sin(30)=\frac{14}{x}\\\\x=\frac{14}{sin(30)}](/tpl/images/0499/5787/e18f2.png)
Now we can plug it into a calculator to get
![x=28](/tpl/images/0499/5787/ae153.png)
![What is the value of x in this figure? 14√3 28√3 28√2 28](/tpl/images/0499/5787/77a76.jpg)