Question

qual o valor de x na figura:

Answer 1

Resposta:

Explicação passo-a-passo:

pode-se aplicar a lei dos senos

$\frac{x}{sen120}=\frac{100}{sen45} \\\\\frac{x}{\frac{\sqrt{3} }{2}}=\frac{100}{\frac{\sqrt{2}}{2}}\\\\\frac{2x}{\sqrt{3}}=\frac{2*100}{\sqrt{2}}\\\\x=\frac{100\sqrt{3}}{\sqrt{2}}\\\\x=\frac{100\sqrt{3}}{\sqrt{2}}.\frac{\sqrt{2}}{\sqrt{2}}\\\\x=\frac{100\sqrt{6}}{2}\\\\x=50\sqrt{6}m$