Question

The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during a 26​-minute time​ interval?

Answer 1

The minute hand covers
`156^o` in 26 minutes

Explanation:

Notice that the minute hand of a clock covers 360 degrees angle (full rotation) in 60 minutes.

Then if we want to find how many degrees (our unknown x) it covers in 26 minutes, we can write the following proportion to solve for the unknown:

`(360^o)/(60) =(x)/(26)\\x=((26)\,360^o)/(60) \\x=156^o`