I might be incorrect. Buttt I believe this might be the answer.
The way is write it is
Minute hand length ~ 36•1.5= 54
In 45 minutes the minute hand with be at the 8 hour marker
The whole clock is equal to 360° so each hour is represented by 30°. I found that by dividing 360 by 12. (Due to how many hours are on the clock)
There is 9hour markers between 11 and 8.
So there’s a 270° distance between the minute hand and 45 minutes.
I found this by timing 9 by 30