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[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]
Inverse both sides
[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]
[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]
Multiply sides by 16√3
[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]
[tex]s = 32[/tex]
Thus the correct answer is Option D .
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