Question

1. What is the value of s? A. 8 B.16 C.16|2 D.32

Answer 1

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$\cos(30°) = \frac{16 \sqrt{3} }{s}$

$\frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s}$

Inverse both sides

$\frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} }$

$\frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} }$

Multiply sides by 16√3

$16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} }$

$s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} }$

$s = 32$

Thus the correct answer is Option D .

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