A Geometry/Angle Question

Find the angle between the hour and minute hands on a clock when the time is 4:15. I realize that the hour hand is not exactly on the 4. Thank you.

Hello

You are right, the hand is not on the 4.
It should be on 4.25 ( 4 + 1/4)

There are 360° for a complete round, that is 12 hours
So that 1 hour is 30°
4 hours is 120°
And1/4 h is 7.5°

The hour hand is at 127.5°

The minute hand is at 90°

The angle between them is 37,5°

Hope it helps

Bye !
The hour

On the face of a 12 hour clock...

each hour, the hour hand moves through 30º

after 15 minutes, the hour hand has moved 7.5º

at 4:15, the angle between the minute hand and the hour hand is: 37.5º

make a diagram...

@ß