please choose a method to apply to each problem and solve for all of the variables.leave answer in radical form

Answer
Inverse trig will be used to solve for this unknown angle.
Unknown angle = 32.6°
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!!!