Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 119° 08' 03"

Verified step by step guidance

1. Step 1: Understand the problem. We need to convert the angle given in degrees, minutes, and seconds (DMS) format, 119° 08' 03", into decimal degrees.
2. Step 2: Recall the conversion formula. To convert from DMS to decimal degrees, use the formula: \( ext{Decimal Degrees} = ext{Degrees} + \frac{ ext{Minutes}}{60} + \frac{ ext{Seconds}}{3600} \).
3. Step 3: Substitute the given values into the formula. Here, Degrees = 119, Minutes = 8, and Seconds = 3.
4. Step 4: Calculate each component: \( \frac{8}{60} \) for minutes and \( \frac{3}{3600} \) for seconds, then add these to the degrees.
5. Step 5: Sum the values to get the final result in decimal degrees, rounding to the nearest thousandth if necessary.