Question

Preciso do cálculo juntamente da resposta.

Answer 1

Resposta:

A medida do lado AC é 8,235 cm.

Explicação passo-a-passo:

Vamos resolver utilizando a lei dos senos:

$\dfrac{a}{sen\ \alpha}=\dfrac{b}{sen\ \beta}\\\\\dfrac{10}{sen\ 60^o}}=\dfrac{x}{sen\ 45^o}\\\\\dfrac{10}{{\dfrac{\sqrt{3}}{2}}}=\dfrac{x}{\dfrac{\sqrt{2}}{2}}\\\\\\\dfrac{10}{{\dfrac{1,7}{2}}}=\dfrac{x}{\dfrac{1,4}{2}}\\\\\\\dfrac{10}{0,85}=\dfrac{x}{0,7}}\\\\\\x=\dfrac{10\times0,7}{0,85} = \dfrac{7}{0,85}=8,235\\\\\\\boxed{\bf{x=8,235}}$

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