The problem asks for the return bearing of an airplane. Bearings are measured clockwise from the north direction (0°). Here’s how we calculate the return bearing step-by-step:

Step 1: Analyze the forward bearing

• The airplane flies from city A to city B on a bearing of $075^\circ$.

Step 2: Add $180^\circ$ to reverse the direction

• To find the return bearing (from city B back to city A), we add $180^\circ$ to the forward bearing if the result is $\leq 360^\circ$. If it exceeds $360^\circ$, subtract $360^\circ$.

Calculation:

$075^\circ + 180^\circ = 255^\circ$

The return bearing is 255°.

Would you like more details on bearings or have any other questions? 😊

Related Questions:

1. What are bearings used for in navigation and geometry?
2. How do you calculate a bearing when given two points on a map?
3. What happens if the forward bearing is already greater than $180^\circ$?
4. How do compass directions (e.g., N, S, E, W) relate to bearings?
5. What tools can be used to measure bearings practically?

Tip:

When working with bearings, always remember they are measured clockwise from the north, and the angle is expressed in three digits for precision!