Final answer:
To find the approximate value of x in degrees, we can set up a proportion: 0.4241/2π = x/360. Simplifying this expression gives x ≈ 24.2366, which rounds to 24.2 degrees.
Step-by-step explanation:
To find the approximate value of x in degrees on the interval [0, 2π], we can use the fact that 2π radians is equivalent to 360 degrees. So, we can set up a proportion:
0.4241 / 2π = x / 360
Cross-multiplying, we have:
x = (0.4241 * 360) / 2π
Simplifying the expression, we get:
x ≈ 24.2366
Rounding to the nearest tenth, x is approximately 24.2 degrees.