This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Answer
Original bearing - 180°
Step 1: Understand the concept of back bearing. A back bearing is the bearing from the destination back to the starting point. If you know the bearing from point A to point B, the back bearing is the bearing from point B to point A.
Step 2: Apply the rule for calculating back bearing. To find the back bearing, if the original bearing is less than 180°, add 180°. If the original bearing is greater than 180°, subtract 180°. The given bearing is 240°, which is greater than 180°.
Step 3: Calculate the back bearing. Back bearing = Original bearing - 180° Back bearing = 240° - 180° Back bearing = 60°
The ship will have to sail on a bearing of 60° to return from Y to X.
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Understand the concept of back bearing. A back bearing is the bearing from the destination back to the starting point.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.