Final answer:
To convert 60° to sexagesimal seconds, multiply by 60 twice (60° -> minutes, then minutes -> seconds), resulting in 216,000 sexagesimal seconds.
Step-by-step explanation:
To convert 60° into sexagesimal seconds, we first express the angle in minutes by multiplying by 60, since one degree equals 60 minutes of arc.
60° = 60 × 60' = 3600'
Next, to express the angle in seconds, we multiply the number of minutes by 60, because one minute of arc equals 60 seconds of arc.
3600' = 3600 × 60'' = 216000''
Therefore, 60 degrees is equivalent to 216,000 sexagesimal seconds.