🔍 Key Concepts

• Relationship between time and arc in nautical astronomy (Earth rotates 360° in 24 hours) • Conversion factor between seconds of time and minutes of arc • Careful unit handling: hours, minutes, seconds of time vs degrees, minutes of arc

💭 Think About

• How many degrees of arc correspond to 1 hour of time? From that, how many minutes of arc correspond to 1 minute of time, and then 1 second of time? • First convert 4 minutes 04 seconds entirely into seconds of time, then multiply by the correct arc-per-second factor. • After you find the total arc in minutes, can you convert any excess into whole degrees plus remaining minutes?

✅ Before You Answer

• Verify the basic rule: 15° of arc = 1 hour of time for Earth’s rotation. • Check your unit consistency: are you multiplying seconds of time × arc per second, not mixing in hours or minutes incorrectly? • Before choosing an option, reconvert your final arc value back into degrees and minutes and see which choice matches.