Question

LEI DOS SENOS

X/SEN30°=√128/SEN45°

Answer 1

Sendo:
Sen 30º = 1/2   e Sen45º = √2/2
$\frac{x}{sen30}= \frac{ \sqrt{128} }{sen45} \\ \\ \frac{x}{ \frac{1}{2} } = \frac{ \sqrt{128} }{ \frac{ \sqrt{2} }{2} } \\ \\ 2x = \frac{2 \sqrt{128} }{ \sqrt{2} } \\ \\ 2x = 2 \sqrt{ \frac{128}{2} } \\ \\ 2x = 2 \sqrt{64} \\ \\ x = \sqrt{64} \\ \\ x = 8$