You can solve this problem by following the proccedure below:
 1. You have:
 Cos(α)=Adjacent/Hypotenuse
 α=30°
 Adjacent=7√3
 Hypotenuse=w
 2. When you substitute this values into Cos(α)=Adjacent/Hypotenuse, you obtain:
 Cos(α)=Adjacent/Hypotenuse
 Cos(30°)=(7√3)/w
 3. When you clear "w", you obtain:
 wCos(30°)=7√3
 w=(7√3)/Cos(30°)
 4. Then, the result is:
 w=14
 The answer is the last option: 14