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Q1. A ship sails from X to Y on a bearing of 240°. On what bearing will it have to return from Y to X?

Mathematics

ScanSolve AI Answer

Answer

60∘60^\circ

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 a ship sails from point X to point Y on a certain bearing, the back bearing is the bearing required to sail from Y back to X.

  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 from X to Y is 240°. Since 240° is greater than 180°, we subtract 180°.

  3. Calculate the back bearing.

    Back bearing=Original bearing−180∘\text{Back bearing} = \text{Original bearing} - 180^\circ Back bearing=240∘−180∘\text{Back bearing} = 240^\circ - 180^\circ Back bearing=60∘\text{Back bearing} = 60^\circ

    The ship will have to sail on a bearing of 60° to return from Y to X.

    60∘60^\circ
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