Question

3.Descubra o valor de x . Considere: √2 = 1,4 e √3 = 1,7).
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Answer 1

Aplicando Lei dos senos :

$\displaystyle \frac{\text{AC}}{\text{Sen}(45^{\circ})}=\frac{\text{BC}}{\text{Sen}(60^{\circ})}$

$\displaystyle \frac{\text x}{\displaystyle \frac{\sqrt2}{2}}=\frac{\text{10}}{\displaystyle \frac{\sqrt 3}{2}}$

$\displaystyle \text x = \frac{10\sqrt 2 }{\sqrt3}$

$\displaystyle \text x = \frac{10.1,4}{1,7}$

$\displaystyle \text x = \frac{14}{1,7}$

$\huge\boxed{\displaystyle \text x = 8,23 \ \text{cm}}\checkmark$