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Bearings: The Angle Between Two Directions (Year 11)

Free printable UK Year 11 (GCSE Foundation) maths worksheet on bearings: find the angle between two bearings measured from the same point, and find a new bearing after a clockwise turn.

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Grade 10 · Math worksheet
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Bearings: The Angle Between Two Directions

Use bearings measured from the same point to find the angle between two directions, or to find a new bearing after turning through a given angle.

  1. 1.
    From a lighthouse O, the bearing of ship A is 222° and the bearing of ship B is 015°. Find the smaller angle between the two bearings (angle AOB).
  2. 2.
    From a lighthouse O, the bearing of ship A is 121° and the bearing of ship B is 197°. Find the smaller angle between the two bearings (angle AOB).
  3. 3.
    From a lighthouse O, the bearing of ship A is 173° and the bearing of ship B is 076°. Find the smaller angle between the two bearings (angle AOB).
  4. 4.
    From a lighthouse O, the bearing of ship A is 189° and the bearing of ship B is 259°. Find the smaller angle between the two bearings (angle AOB).
  5. 5.
    From a lighthouse O, the bearing of ship A is 115° and the bearing of ship B is 117°. Find the smaller angle between the two bearings (angle AOB).
  6. 6.
    From a lighthouse O, the bearing of ship A is 018° and the bearing of ship B is 010°. Find the smaller angle between the two bearings (angle AOB).
  7. 7.
    The bearing of point A from point O is 238°. Point B is 120° clockwise from A, as seen from O. Find the bearing of B from O.
  8. 8.
    The bearing of point A from point O is 144°. Point B is 49° clockwise from A, as seen from O. Find the bearing of B from O.
  9. 9.
    The bearing of point A from point O is 027°. Point B is 33° clockwise from A, as seen from O. Find the bearing of B from O.
  10. 10.
    The bearing of point A from point O is 257°. Point B is 45° clockwise from A, as seen from O. Find the bearing of B from O.
  11. 11.
    The bearing of point A from point O is 349°. Point B is 113° clockwise from A, as seen from O. Find the bearing of B from O.
  12. 12.
    The bearing of point A from point O is 203°. Point B is 48° clockwise from A, as seen from O. Find the bearing of B from O.
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