John starts at O. He travels 40 km on a bearing of 210 degrees to reach town T. Find the coordinates of town T.

a)

Step 1: Determine the coordinates of town T from John's initial position.
Let John's initial position be the origin $O(0,0)$. John travels 40 km on a bearing of $210^\circ$.
To convert a bearing to a standard angle $\theta$ (measured counter-clockwise from the positive x-axis), we use $\theta = 90^\circ - \text{bearing}$.
For a bearing of $210^\circ$:
$\theta_T = 90^\circ - 210^\circ = -120^\circ$.
The coordinates of T are $(x_T, y_T)$:

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