Find all values of $\theta$ if $\theta$ is in the interval $\left[0^{\circ}, 360^{\circ}\right)$ and has the given function value. \[ \sin \theta \approx 0.4999161 \] The value(s) of $\theta$ is/are (Round to five decimal places as needed. Use a comma to separate answers as needed. Do not include the degree symbol in your answer.)

Step 1 ：Given that \(\sin \theta \approx 0.4999161\), we need to find all values of \(\theta\) in the interval \([0^\circ, 360^\circ)\).

Step 2 ：The sine function has a period of \(360^\circ\), and it is positive in the first and second quadrants.

Step 3 ：First, we find the value of \(\theta\) in the first quadrant by taking the inverse sine of the given value. This gives us \(\theta \approx 29.99445^\circ\).

Step 4 ：Next, we use the symmetry of the sine function to find the value in the second quadrant. Since the sine function is symmetric about \(90^\circ\), the value of \(\theta\) in the second quadrant is \(180^\circ - 29.99445^\circ \approx 150.00555^\circ\).

Step 5 ：Final Answer: The values of \(\theta\) are approximately \(\boxed{29.99445^\circ}\) and \(\boxed{150.00555^\circ}\).