Question

Alguém me ajuda a resolver essas duas contas?

Answer 1

a)

$\frac{x}{ \sin(60) } = \frac{1}{ \sin(30) } \\ x \times \frac{1}{2} = 1 \times \frac{ \sqrt{3} }{2} \\ \frac{1}{2} x = \frac{ \sqrt{3} }{2} \\ x = \frac{ \sqrt{3} }{2} \times \frac{2}{1} \\ x = \frac{2 \sqrt{3} }{2} \\ x = \sqrt{3}$

b)

$\frac{x}{ \sin(60) } = \frac{5}{ \sin(30) } \\ x \times \frac{1}{2} = 5 \times \frac{ \sqrt{3} }{2} \\ \frac{1}{2} x = \frac{5 \sqrt{3} }{2} \\ x = \frac{5 \sqrt{3} }{2} \times \frac{2}{1} \\ x = \frac{10 \sqrt{3} }{2} \\ x = 5 \sqrt{3}$

Apliquei lei dos senos.

Espero ter ajudado.