Question

Calcule o Valor de X e Y nos triângulos retângulos.

Answer 1

Calculando x:

sen 30° =  $\frac{cateto oposto}{hipotenusa}$

sen 30° $\frac{2}{x}$

$\frac{1}{2}$ = $\frac{2}{x}$

x = 2 . 2

x = 4

Calculando y:

tg 30° = $\frac{cateto oposto}{cateto adjacente}$

tg 30° = $\frac{2}{y}$

$\frac{\sqrt{3} }{3}$ = $\frac{2}{y}$

y$\sqrt{3}$ = 6

y = $\frac{6}{\sqrt{3} }$

y = $\frac{6}{\sqrt{3} }$ . $\frac{\sqrt{3} }{\sqrt{3} }$

y = 6$\frac{\sqrt{3} }{\sqrt{9} }$

y = 6$\frac{\sqrt{3} }{3}$

y = 2$\sqrt{3}$