Question

calcule o valor de x e y​

Answer 1

Explicação passo-a-passo:

• $\sf tg~30^{\circ}=\dfrac{x}{2\sqrt{3}}$

$\sf \dfrac{\sqrt{3}}{3}=\dfrac{x}{2\sqrt{3}}$

$\sf 3x=\sqrt{3}\cdot2\sqrt{3}$

$\sf 3x=2\cdot3$

$\sf 3x=6$

$\sf x=\dfrac{6}{3}$

$\sf x=2~cm$

• $\sf cos~30^{\circ}=\dfrac{2\sqrt{3}}{y}$

$\sf \dfrac{\sqrt{3}}{2}=\dfrac{2\sqrt{3}}{y}$

$\sf \sqrt{3}\cdot y=2\cdot2\sqrt{3}$

$\sf \sqrt{3}\cdot y=4\sqrt{3}$

$\sf y=\dfrac{4\sqrt{3}}{\sqrt{3}}$

$\sf y=4~cm$