can someone help me with this one
How many degrees (if any) are there in the angle between the hour and minute hands of a clock when the time is quarter past three?
7.5 Degs I couldnt think of a clue!
Got really stuck on this one, how did you work it out?
There is an angle between the hour and minute hand other than zero. This comes from the fact that the hour hand doesn't stay still whilst the minute hand is catching up. So...
12 o'clock = 0°
1 o'clock = 30°
2 o'clock = 60°
3 o'clock = 90°
4 o'clock = 120°
The simplest way to think of this is that clearly each hour is made up of 30° and that the hour hand will have moved one quarter of an hour past three o'clock. 1/4 x 30° = 7.5°
Does this make sense?