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

May 3, 2026Mathematics

ScanSolve AI Answer

May 3, 2026

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 $(0, 0)$ . 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.

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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).

Asked on May 3, 2026Mathematics

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 AnswerAnswered on May 3, 2026

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.