Respuesta :

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].

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