cosine = adjascent / hipotenuse
cos 30 = (7√3)/w
[tex]\cos \text{ 30 = }\frac{7\sqrt[]{3}}{w}\Longrightarrow w=\frac{7\sqrt[]{3}}{\cos\text{ 30}}=\frac{7\sqrt[]{3}}{\frac{\sqrt[]{3}}{2}}=\frac{7}{\frac{1}{2}}=14\Longrightarrow\text{ w = 14}[/tex]
Answer:
w = 14
