Question

DADOS SENO 120⁰ = √3/2:​

Answer 1

6)

Usando a Lei dos Senos

sen(30°)/10= sen(120°)/y

(1/2)/10 =(√3/2)/y

1/10 =√3/y

y=10√3

7)

Usando a Lei dos Senos

sen(45°)/200 =sen(30)/x

(√2/2)/200 =(1/2)/x

√2/200=1/x

x=200/√2 =200√2/2 =100√2

Answer 2

6° Questão

• Lei dos senos

$\frac{sen120}{y} = \frac{sen30}{10}$

$\frac{ \frac{ \sqrt{3} }{2} }{y} = \frac{ \frac{1}{2} }{10 }$

$\frac{ \frac{ \sqrt{3} }{2} }{y} = \frac{1}{2} \times \frac{1}{10}$

$\frac{ \frac{ \sqrt{3} }{2} }{y} = \frac{1}{20}$

$y = 20 \times \frac{ \sqrt{3} }{2}$

$\boxed{y = 10 \sqrt{3} }$

7° Questão

• Lei dos senos

$\frac{sen30}{x} = \frac{sen45}{200}$

$\frac{ \frac{1}{2} }{x} = \frac{ \frac{ \sqrt{2} }{ 2 } }{200}$

$\frac{ \frac{1}{2} }{x} = \frac{ \sqrt{2} }{2} \times \frac{1}{200 }$

$\frac{ \frac{1}{2} }{x} = \frac{ \sqrt{2} }{400}$

$\sqrt{2} x = \frac{400}{2}$

$\sqrt{2} x = 200$

$x = \frac{200}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} }$

$x = \frac{200 \sqrt{2} }{ \sqrt{4} }$

$x = \frac{200 \sqrt{2} }{2}$

$\boxed{x = 100 \sqrt{2} }$

Espero ter ajudado!