Question

calcule o x e y da figura

Answer 1

letra a)
$\sin(30) = \frac{y}{6} \\ \frac{1}{2 } = \frac{y}{6} \\ 2y = 6 \\ y = 3 \\ \sin(30) = \frac{x}{10} \\ \frac{1}{2} = \frac{x}{10} \\ 2x = 10 \\ x = \frac{10}{2} \\ x = 5$
letra b)
$\sin(60) = \frac{x}{6 } \\ \frac{ \sqrt{3} }{2} = \frac{x}{6} \\ 2x = 6 \sqrt{3} \\ x = \frac{6 \sqrt{3} }{2} \\ x = 3 \sqrt{3} \\ \\ \cos(60) = \frac{y}{6} \\ \frac{1}{2} = \frac{y}{6} \\ 2y = 6 \\ y = \frac{6}{2} \\ y = 3$