Question

through how many degrees does the hour hand of a clock turn in 5 minutes

Answer 1

Each hour is 1/12 of a complete circle for the hour hand (on a standard 12 hour clock).

5 minutes is 1/12 of an hour.

So in 5 minutes, the hour hand moves 1/12×1/12=1/144 of a complete circle.

A complete circle is 360∘, so this is 360/144=2.5°

Answer 2

It should be 30°.
360/12=30°.