Respuesta :

Answer:

x = [tex]\sqrt{2}[/tex]

y = 2

Step-by-step explanation:

By applying tangent rule in the given triangle,

tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

1 = [tex]\frac{\sqrt{2}}{x}[/tex]

x = √2

By applying sine rule in the given triangle,

sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hyotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{y}[/tex]

y = [tex](\sqrt{2})^2[/tex]

y = 2