Establish a coordinate system with the school at the origin (0, 0).

Mathematics
Establish a coordinate system with the school at the origin (0, 0).

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Answer

(0,0)(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 (0,0)(0, 0). School (S) = (0,0)(0, 0)

Step 2: Determine the coordinates of Town A. Town A is 160 km North of the school. A=(0,160)A = (0, 160)

Step 3: Determine the coordinates of Town B. Town B is 100 km Westwards from Town A. B=(0−100,160)=(−100,160)B = (0 - 100, 160) = (-100, 160)

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).

Establish a coordinate system with the school at the origin (0, 0).
Mathematics

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.

ScanSolve AI Answer
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 (0, 0). School (S) = (0, 0) Step 2: Determine the coordinates of Town A. Town A is 160 km North of the school. A = (0, 160) Step 3: Determine the coordinates of Town B. Town B is 100 km Westwards from Town A. B = (0 - 100, 160) = (-100, 160) Step 4: Determine the coordinates of Town C.