Question

Calcule o valor de x, y e z na figura abaixo​

Answer 1

Explicação passo-a-passo:

$\tan(30) = \frac{x}{300}$

$\frac{ \sqrt{3} }{3} = \frac{x}{300}$

$3x = 300 \times \sqrt{3}$

$x = \frac{300 \times \sqrt{3} }{3}$

$x = 100 \sqrt{3}$

$\tan(60) = \frac{100 \sqrt[]{3} }{y}$

$\sqrt{3} = \frac{100 \sqrt{3} }{y}$

$\sqrt{3} y = 100 \sqrt[]{3}$

$y = \frac{100 \sqrt{3} }{ \sqrt{3} }$

$y = 100$

$z + y = 300$

$z + 100 = 300$

$z = 300 - 100$

$z = 200$