Answer
Inverse trig will be used to solve for this unknown angle.
Unknown angle = 32.6°
Step-by-step explanation
In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
For this question,
Hypotenuse = 38
Opposite = ?
Adjacent = 32
So, to get the angle marked, we will use inverse-trig to say CAH means
Cos x = (32/38)
x = Cos⁻¹ (32/38)
x = 32.6°
Hope this Helps!!!