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
$(0, 0)$
Here are the solutions to the questions:
a) i) The distance and bearing of town D from school.
Step 1: Establish a coordinate system with the school at the origin . School (S) =
Step 2: Determine the coordinates of Town A. Town A is 160 km North of the school.
Step 3: Determine the coordinates of Town B. Town B is 100 km Westwards from Town A.
Step 4: Determine the coordinates of Town C.
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a) i) The distance and bearing of town D from school. Step 1: Establish a coordinate system with the school at the origin (0, 0).
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.