What angle in degrees the hour hand describes in 20 minutes.

It is necessary to proceed from the fact that the hour hand in 24 hours describes a full circle, which corresponds to 360 degrees. Let’s translate 24 hours into minutes, knowing that one hour contains 60 minutes:

24 * 60 = 1440 minutes.

We make the proportion:

1440 minutes – 360 degrees;

20 minutes – x degrees.

From here, according to the rule of the cross, we get:

1440x = 360 * 20;

x = 360 * 20/1440;

x = 5 degrees.

Answer: In 20 minutes, the hour hand will describe an angle of 5 degrees.



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