Answer:
y is 40.54 degrees
x is 49.46 degrees
Explanation:
Recall that Pythagoras theorem states that
a^2 + b ^2 = c^2
where a and b are the opposite and adjacent sides of a right angled triangle and c is the hypotenuse side
Using the notation SOH CAH TOA
Sin y = 13/20 where 13 is the length of the opposite side and 20 is that of the hypotenuse side.
y = sin^-1 0.65
y = 40.54 degrees
Considering angle x,
Cos x = 13/20 where 13 is the adjacent side and 20 is the hypotenuse side
x = Cos^-1 0.65
= 49.46 degrees