Step-by-step explanation:
[tex]cos = \frac{adjacent}{hypotenuse} [/tex]
Replace with given values, so
[tex] \cos(60) = \frac{x}{4 \sqrt{3} } [/tex]
Multiply both sides of the equation by
[tex]4 \sqrt{3} [/tex]
[tex]4 \sqrt{3} \times \frac{x}{4 \sqrt{3} } = 4 \sqrt{3} \times \cos(60) [/tex]
Cancel common factor of
[tex]4 \sqrt{3} [/tex]
[tex]4 \sqrt{3} \times \cos(60) [/tex]
Exact value of cos(60) is 1/2
Cancel common factor of 2
[tex]x = 2 \sqrt{3} [/tex]
or
[tex]x = 3.46410161[/tex]
