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

May 3, 2026Mathematics

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a) i) The distance and bearing of town D from school.

Establish a coordinate system with the school at the origin $(0, 0)$.
School (S) = $(0, 0)$
Determine the coordinates of Town A.
Town A is 160 km North of the school.
$A = (0, 160)$
Determine the coordinates of Town B.
Town B is 100 km Westwards from Town A.
$B = (0 - 100, 160) = (-100, 160)$
Determine the coordinates of Town C.

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