Answer:
x = 5√2
y = 15
Step-by-step explanation:
By applying sine rule in the given right triangle,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{y}{10\sqrt{2}}[/tex]
y = [tex]\frac{\sqrt{3} \times 10\sqrt{2} }{2}[/tex]
y = 15
Similarly, by applying cosine rule in the given triangle,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{10\sqrt{2}}[/tex]
x = 5√2
