Question

qual o valor de x e y abaixo ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\begin{cases}\mathsf{tg\:30\textdegree = \dfrac{y}{x + 40}}\\\\\mathsf{tg\:60\textdegree = \dfrac{y}{x}}\end{cases}$

$\begin{cases}\mathsf{\dfrac{\sqrt{3}}{3} = \dfrac{y}{x + 40}}\\\\\mathsf{\sqrt{3} = \dfrac{y}{x}}\end{cases}$

$\mathsf{y = x\sqrt{3}}$

$\mathsf{\dfrac{\sqrt{3}}{3} = \dfrac{x\sqrt{3}}{x + 40}}}$

$\mathsf{\dfrac{1}{3} = \dfrac{x}{x + 40}}}$

$\mathsf{3x = x + 40}$

$\mathsf{2x = 40}$

$\boxed{\boxed{\mathsf{x = 20}}}$

$\boxed{\boxed{\mathsf{y = 20\sqrt{3}}}}$