A ship sails from ' X' to ' Y' on a bearing of 240°. On what bearing will it have to sail to return from 'Y' to 'X'

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  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.

  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°.

  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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