A watch reads 4:30. If the hour hand points towards North-east. In whi...
At 4: 30 the minute hand points to 6 and the hour hand is between 4 & 5 which is also between 3 & 6.
Now let's place a direction chart beside it with East along minute hand. Turn the paper so that 6 is East, 3 will be North. Hour-hand for 4.30 will point along North East. Be sure to get the other directions correct.
Hencet he hour hand points along North East.
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A watch reads 4:30. If the hour hand points towards North-east. In whi...
Solution:
Given, the time on the watch is 4:30 and the hour hand points towards North-east.
To find out the direction in which the minute hand points, we need to understand the movement of both the hands.
- Hour hand: The hour hand moves 360 degrees in 12 hours, i.e., 30 degrees in an hour or 0.5 degrees in a minute.
- Minute hand: The minute hand moves 360 degrees in 60 minutes, i.e., 6 degrees in a minute.
Now, let's calculate the angle between the hour hand and the minute hand.
- Angle made by the hour hand in 30 minutes = 0.5 × 30 = 15 degrees
- Angle made by the minute hand in 30 minutes = 6 × 30 = 180 degrees
Therefore, the angle between the hour hand and the minute hand is 180 - 15 = 165 degrees.
Since the hour hand is pointing towards North-east, we can divide the clock face into four equal parts, and the hour hand will be in the second part.
Hence, the minute hand will be in the first part, pointing towards East.
Therefore, the direction in which the minute hand points is East.
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