3. Convert to DMS or Convert to Degrees a. \( 72.3789^{\circ} \)

To convert \( 72.3789^{\circ} \) into Degrees, Minutes, and Seconds (DMS), start with the integer part of the angle, which is 72 degrees. For the decimal part (0.3789), multiply by 60 to get the minutes: \( 0.3789 \times 60 \approx 22.734 \) minutes. Take 22 as the minutes and multiply the decimal part (0.734) by 60 for seconds: \( 0.734 \times 60 \approx 44.04 \) seconds. So, in DMS, it’s \( 72^{\circ} 22' 44.04'' \). And remember, DMS is super handy in navigation and fields like astronomy! For instance, when plotting stars or waypoints, using DMS coordinates can help those working with celestial maps or GPS technology find exact locations with precision. It's essentially like adding a sprinkle of accuracy to your adventures!