sin(x) = 5/8

To find the value of x, you need to take the inverse sine (or arcsine) of both sides of the equation.

So, applying the inverse sine function to both sides:

sin^(-1)(sin(x)) = sin^(-1)(5/8)

x = sin^(-1)(5/8)

Using a calculator, the approximate value of x is 39.23 degrees or 0.68 radians.