Question

me ajuda por favor!!!​

Answer 1

Explicação passo-a-passo:

$\frac{10}{sen120} = \frac{x}{sen45} \\ \\ \frac{ 10 }{ \frac{ \sqrt{3} }{2} } = \frac{x}{ \frac{ \sqrt{2} }{2} } \\ \\ \frac{10}{1} \times \frac{2}{ \sqrt{3} } = \frac{x}{1} \times \frac{2}{ \sqrt{2} } \\ \\ \frac{20}{ \sqrt{3} } = \frac{2x}{ \sqrt{2} } \\ \\ 2 \sqrt{3} x = 20 \sqrt{2} \\ x = \frac{20 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{20 \sqrt{6} }{2 \times 3} \\ x = \frac{20 \sqrt{6} }{6} \\ x = \frac{10 \sqrt{6} }{3}$