Question

Determine o valor das incógnitas em cada caso.

Answer 1

Explicação passo-a-passo:

a)

$\cos(30°) = \frac{16}{x} \\ \frac{ \sqrt{3} }{2} = \frac{16}{x} \\ \sqrt{3} \: x = 16 \times 2 \\ \sqrt{3} \: x = 32 \\ x = \frac{32}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{32 \sqrt{3} }{3}$

b)

$\sin(60) = \frac{w}{18} \\ \frac{ \sqrt{3} }{2} = \frac{w}{18} \\ 2w = 18 \sqrt{3} \\ w = \frac{18 \sqrt{3} }{2} \\ w = 9 \sqrt{3}$