Answer: 36.87 degrees.
Explanation:
In a right-angle triangle, the length of the opposite side of an angle and the length of the hypotenuse can be used to find the value of the angle using the trigonometric ratios.
If we let the angle in question be denoted as "theta" and the length of the opposite side be "opp" and the length of the hypotenuse be "hyp", we can use the trigonometric ratio "sine" to find the value of the angle.
sin(theta) = opp/hyp
We are given that opp = 3 cm and hyp = 5 cm, so we can substitute these values into the equation:
sin(theta) = 3/5
We can now use an inverse trigonometric function, such as arcsin, to find the value of theta:
theta = arcsin(3/5)
The result of this calculation is theta = approximately 36.87 degrees. Therefore, the value of the angle is 36.87 degrees.