Question

em cada caso,determine o valor de x

Answer 1

$a) \sin(30) = \frac{12}{x} \\ \frac{1}{2} = \frac{12}{x} \\x = 24$

$b) \cos(45) = \frac{x}{8} \\ \frac{ \sqrt{2} }{2} = \frac{x}{8} \\ 2x = 8 \sqrt{2} \\ x = \frac{8 \sqrt{2} }{2} \\ x = 4 \sqrt{2}$

$c)\sin(60) = \frac{3x}{10 \sqrt{3} } \\ \frac{ \sqrt{3} }{2} = \frac{3x}{10 \sqrt{3} } \\ 6x = 10 \times 3 \\ 6x = 30 \\ x = 5$