Math Problem Statement
Solution
To solve this problem, let's break down the concept of bearings:
- A bearing is a direction measured clockwise from the north (0°).
- The airplane flies from city A to city B at a bearing of 075°. This means the airplane is flying 75° clockwise from north.
When returning from city B to city A, the bearing would be the opposite. To calculate the return bearing, you can simply add 180° to the original bearing because the direction of travel is reversed.
Now, let’s calculate:
So, the airplane needs to fly at a bearing of 255° to return from city B to city A.
Would you like any additional details on this? Here are a few related questions to expand on this topic:
- What are the different types of bearings used in navigation?
- How do bearings help in real-world navigation, such as on a map?
- If the bearing were instead 350°, what would the return bearing be?
- How does magnetic declination affect bearings?
- What tools are used to measure bearings in aviation?
Tip: When calculating reverse bearings, always add or subtract 180°, ensuring the result stays within 0°–360°.
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Math Problem Analysis
Mathematical Concepts
Bearings
Direction
Navigation
Formulas
Return bearing = initial bearing ± 180° (ensuring result is between 0°–360°)
Theorems
Concept of bearings in navigation
Suitable Grade Level
Grades 6-9
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