Answer:
[tex]x=\dfrac{8}{\sqrt3}[/tex]
Step-by-step explanation:
Given that,
[tex]\sin(30)=\dfrac{\dfrac{4}{\sqrt3}}{x}[/tex] ...(1)
We need to find the value of x.
We know that,
sin30 = 1/2
Use it in equation (1).
[tex]\dfrac{1}{2}=\dfrac{\dfrac{4}{\sqrt3}}{x}\\\\x=\dfrac{4}{\sqrt3}\times 2\\\\x=\dfrac{8}{\sqrt3}[/tex]
So, the value of x is equal to [tex]\dfrac{8}{\sqrt3}[/tex].
