Answer:
x = 5 sqrt(6)/3
y= 10 sqrt(6)/3
Step-by-step explanation:
We know sin 60 = opposite/hypotenuse
sin 60 = 5 sqrt(2) /y
Multiply each side by y
y sin 60 = 5 sqrt(2)
Divide each side by sin 60
y sin 60/ sin 60 = 5 sqrt(2)/ sin 60
y = 5 sqrt(2) / sin 60
y = 5 sqrt(2) / sqrt(3) /2)
y = 10 sqrt(2)/ sqrt(3)
You cannot leave a sqrt in the denominator
y= 10 sqrt(2)/ sqrt(3) * sqrt(3)/sqrt(3)
y= 10 sqrt(6)/3
tan 60 = oppositve/ adjacent
tan 60 = 5 sqrt(2)/ x
Multiply each side by x
x tan 60 = 5 sqrt(2)
Divide by tan 60
x = 5 sqrt(2)/tan 60
x =5 sqrt(2)/sqrt(3)
You cannot leave a sqrt in the denominator
x = 5 sqrt(2)/sqrt(3) * sqrt(3)/sqrt(3)
x = 5 sqrt(6)/3
