Resposta:

x = 5√2cm

Explicação passo a passo:

x/sen30 = 10/sen45

x/(1/2) = 10/(√2/2)

2x = 20/√2

2x = (20√2)/(√2√2)

2x = (20√2)/2

2x = 10√2

x = (10√2)/2

x = 5√2cm

Resposta:

[tex]\Large \textsf{Leia abaixo}[/tex]

Explicação passo a passo:

[tex]\Large \boxed{\sf \dfrac{10}{sen\:45^{\circ}} = \dfrac{x}{sen\:30^{\circ}}}[/tex]

[tex]\Large \boxed{\sf \dfrac{10}{\dfrac{\sqrt{2}}{\not2}} = \dfrac{x}{\dfrac{1}{\not2}}}[/tex]

[tex]\Large \boxed{\sf x\sqrt{2} = 10}[/tex]

[tex]\Large \boxed{\sf x = \dfrac{10}{\sqrt{2}}}[/tex]

[tex]\Large \boxed{\sf x = \left(\dfrac{10}{\sqrt{2}}\right).\left(\dfrac{\sqrt{2}}{\sqrt{2}}\right)}[/tex]

[tex]\Large \boxed{\sf x = \dfrac{10\sqrt{2}}{2}}[/tex]

[tex]\Large \boxed{\boxed{\sf x = 5\sqrt{2}\:cm}}[/tex]