Question

Determine o valor de "x" e "y"

Answer 1

$a) \sin(30) = \frac{10}{x} \\ \frac{1}{2} = \frac{10}{x} \\ x = 20 \\ \tan(30) = \frac{10}{y} \\ \frac{ \sqrt{3} }{3} = \frac{10}{y} \\ y \sqrt{3} = 30 \\ y = \frac{30. \sqrt{3} }{ \sqrt{3}. \sqrt{3} } \\ y = \frac{30 \sqrt{3} }{9} \\ b) \sin(60) = \frac{y}{18} \\ \frac{ \sqrt{3} }{2} = \frac{y}{18} \\ 2y = 18 \sqrt{3} \\ y = \frac{18 \sqrt{3} }{2} \\ y = 9 \sqrt{3} \\ \cos(60) = \frac{x}{18} \\ \frac{1}{2} = \frac{x}{18} \\ 2x = 18 \\ x = \frac{18}{2} \\ x = 9$