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A ship sails from port P on a bearing of N45°E for 15 km to port Q. It then sails on a bearing of S45°E for 20 km to port R. Draw a diagram to represent this journey and determine the bearing of R fro

Mathematics

ScanSolve AI Answer

Here's how to solve this navigation problem:

Part a) Represent the information in a diagram.

Let P be the starting port, Q be the intermediate port, and R be the final port.

  1. From P to Q: The ship sails on a bearing of N45°E for 15 km. This means 45° clockwise from the North direction at P.
  2. From Q to R: The ship sails on a bearing of S45°E for 20 km. This means 45° clockwise from the South direction at Q.

Let's analyze the angle at Q.

  • Draw a North line at P and a North line at Q. These lines are parallel.
  • The angle between
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