Answer:
x = 19, y = 19
Step-by-step explanation:
Since the triangle is right, we can use the sine and cosine ratios to find x and y
note the exact values of cos60° =
and
sin60° = 
cos60° =
= 
multiply both sides by 38
x = 38 × cos60° = 38 ×
= 19
sin60° =
= 
multiply both sides by 38
y = 38 × sin60° = 38 ×
= 19