find the missing side lengths

Answer:
x = 11 * sqrt(3)
y = 11
Step-by-step explanation:
Use the ratio of the lengths of the sides of a 30-60-90 triangle.
y = 22/2 = 11
x = 11 * sqrt(3)
Answer: x = 11√3
y = 11
Step-by-step explanation:
Let the reference angle be 60
b = y
h = 22
p = x
so
sin60 = p/h
[tex]\sqrt{3} /2[/tex] = x/22
so x =( 22[tex]\sqrt{3}[/tex] )/ 2
so x = 11√3
so
[tex]h^2 = p^2 + b^2\\22^2 = (11\sqrt{3)}^2 + b^2\\or, 484 = 363 + b^2\\or, 484-363 = b^2\\or, 121 = b^2\\or, \sqrt{121} = b\\so b = 11[/tex]