katelynblairmosby621 katelynblairmosby621
  • 09-03-2021
  • Mathematics
contestada

Find the values of x and y.
y
45

Find the values of x and y y 45 class=

Respuesta :

eudora eudora
  • 14-03-2021

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

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