Question

no triângulo abaixo calcular o valor de X aplicando a lei do seno​

Answer 1

Resposta:

$\frac{x}{ \sin(45 {}^{o} ) } = \frac{10}{ \sin(30 {}^{o} ) } \\ \\ \frac{x}{ \frac{ \sqrt{2} }{2} } = \frac{10}{ \frac{1}{2} } \\ \\ \frac{x}{2} = 10 \times \frac{ \sqrt{2} }{2} \\ \\ \frac{x}{2} = 5 \sqrt{2} \\ \\ x = 10 \sqrt{2} \\ \\ ou \\ \\ \frac{x}{ \frac{ \sqrt{2} }{2} } = \frac{10}{ \frac{1}{2} } \\ \\ x \times \frac{2}{ \sqrt{2} } = 10 \times \frac{2}{1} \\ \\ \frac{2x}{ \sqrt{2} } = 20 \\ \\ 2x = 20 \sqrt{2} \\ \\ x = \frac{20 \sqrt{2} }{2} \\ \\ x = 10 \sqrt{2}$

Bons Estudos!