1. Understanding the Problem:

The Earth rotates 360 degrees in 24 hours. We need to find out how many degrees it rotates in 4 hours and 12 minutes.

2. Converting Units:

First, convert 4 hours and 12 minutes into hours. There are 60 minutes in an hour, so 12 minutes is equal to 12/60 = 0.2 hours. Therefore, 4 hours and 12 minutes is equal to 4 + 0.2 = 4.2 hours.

3. Setting up a Proportion:

We can set up a proportion to solve this problem:

24 hours / 360 degrees = 4.2 hours / x degrees

Where 'x' is the number of degrees the Earth rotates in 4.2 hours.

4. Solving the Proportion:

Cross-multiply to solve for x:

24x = 360 * 4.2

24x = 1512

x = 1512 / 24

x = 63

5. Answer:

The Earth rotates 63 degrees in 4 hours and 12 minutes.

6. Eliminating Incorrect Options:

• 60°: This would be the rotation in exactly 4 hours, not accounting for the extra 12 minutes.
• 64°: This is an incorrect calculation.
• 65°: This is an incorrect calculation.