The minute hand is pointing to the 12. The hour hand is perpendicular to the minute hand. What 2 times could it be?
How about 3 PM and 9PM.
The minute hand is pointing ot the twelve.
The hour hand is perpendicular to the minute hand.
What two times could it be?
3:00 9:00
To determine the two possible times, we need to understand the relationship between the minute hand and the hour hand on a clock.
First, let's establish some facts:
1. In an analog clock, the hour hand makes a complete rotation every 12 hours, while the minute hand makes a complete rotation every 60 minutes.
2. The angle between the hour hand and the minute hand changes continuously throughout the day.
Now, we know that the minute hand is pointing to the 12, which means it is at the 0-minute mark. The hour hand, perpendicular to the minute hand, means it is pointing at either the 3 or the 9.
To find the two possible times, we need to determine the angles formed between the hour and minute hand for both the 3 and the 9 positions.
1. Position 1: Hour hand pointing to 3:
- At this position, the hour hand is exactly at 3, which is at the 15-minute mark.
- The minute hand is at the 0-minute mark.
- The angle between the hour hand and the minute hand is 15 minutes * (360 degrees / 60 minutes) = 90 degrees.
2. Position 2: Hour hand pointing to 9:
- At this position, the hour hand is exactly at 9, which is at the 45-minute mark.
- The minute hand is at the 0-minute mark.
- The angle between the hour hand and the minute hand is 45 minutes * (360 degrees / 60 minutes) = 270 degrees.
Therefore, the two possible times are:
1. Position 1: The minute hand at 12, the hour hand at 3, for a time of 3:00.
2. Position 2: The minute hand at 12, the hour hand at 9, for a time of 9:00.