Find the values of x and y.
y
45

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