At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180°…
At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other?
At 7:00 hours
Between 7:00 hours and 7:05 hours
At 7:05 hours
Between 7:05 hours and 7:10 hours
Solution
An angle of 180° means the hands are directly opposite. At 7:00 the minute hand is at 12 and the hour hand near 7; for them to be exactly opposite, the minute hand must reach about the 5-minute mark and a little beyond, since the hour hand also moves. This happens a little after 7:05 hours, i.e. between 7:05 and 7:10 hours.