Answer:
x = 14√3
y = 7√3
Step-by-step explanation:
By applying sine rule in the given triangle,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{21}{x}[/tex]
x = [tex]\frac{42}{\sqrt{3}}[/tex]
x = 14√3
By applying cosine rule in the given triangle,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
[tex]\frac{1}{2}=\frac{y}{14\sqrt{3}}[/tex]
y = 7√3
