Answer:
x = 12√2
y = 12√2
Step-by-step explanation:
By applying cosine rule in the given triangle,
cos(45)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{y}{24}[/tex]
y = [tex]\frac{24}{\sqrt{2}}[/tex]
y = [tex]12\sqrt{2}[/tex]
By applying sine rule in the given triangle,
sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{x}{24}[/tex]
x = [tex]\frac{24}{\sqrt{2}}[/tex]
x = [tex]12\sqrt{2}[/tex]
