Hands directly opposite
At what time between 4:00 and 5:00 do a clock's hour and minute hands point in exactly opposite directions (a straight line)? Give the number of minutes after 4:00, to two decimals.
Show hints (2)+
- Write each hand's angle as a function of minutes after 4:00, including the hour hand's /min drift.
- Set (minute hour) and solve; the hour hand does not stay on the 4.
Answer
Reveal answer →Final answer
54.55 (± 0.05)
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