Final answer:
After an immediate 180-degree turn to the right from a heading of 258 degrees, the new heading would be 78 degrees, accounting for the circular nature of headings with a range of 360 degrees.
Step-by-step explanation:
If you are flying a heading of 258 Degrees and ATC tells you to immediately make a 180-degree turn to the right, your new heading will be the sum of your current heading plus 180 degrees. Since a circle has 360 degrees, if your heading goes beyond 360, you would subtract 360 to find the correct new heading. Here is the calculation for the new heading: Current Heading: 258 Degrees, Add 180 Degrees for the Turn: 258 + 180 = 438 Degrees, Since 438 is greater than 360, subtract 360 Degrees: 438 - 360 = 78 Degrees. Therefore, your new heading after making a 180-degree turn to the right would be 78 Degrees.