Question

Determine os valores de x e y em cada caso.
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Answer 1

Resposta:

1)a)
$cos30 = \frac{\sqrt{3} }{2} = \frac{4\sqrt{3} }{y}\\ \sqrt{3}y = 8\sqrt{3}\\ y = 8$

Pitágoras:
$x^{2} + (4\sqrt{3})^{2} = 8^{2}\\x^{2} + 16.3 = 64\\ x = \sqrt{64 - 48} x = \sqrt{4} = 2$

b)
$cos45 = \frac{\sqrt{2} }{2} = \frac{2}{y} \\\sqrt{2}y = 4 \\y= 2\sqrt{2}$

$sen 45 = \frac{\sqrt{2} }{2}= \frac{x}{2\sqrt{2} } \\ 2x= 4\\x= 2$