Therefore [tex]\theta = 30^\circ[/tex]
Step-by-step explanation:
Given,
[tex]4\sqrt{3 } =8 cos \theta[/tex]
[tex]\Leftrightarrow cos \theta =\frac{4\sqrt{3} }{8}[/tex]
[tex]\Leftrightarrow cos \theta =\frac{\sqrt{3} }{2}[/tex]
[tex]\Leftrightarrow cos \theta =cos 30^\circ[/tex]
[tex]\Leftrightarrow \theta = 30^\circ[/tex]
Therefore [tex]\theta = 30^\circ[/tex]
