A boat sails 8 km north from P to Q and then sa... - JAMB Mathematics 2023 Question

To find the bearing of R from P, we need to determine the angle between the north direction and the line PR. 

The distance PQ is 8 km north, and QR is 6 km west. We can use trigonometry to find the angle.

\[ \tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}} \]

\[ \tan(\theta) = \frac{6}{8} \]

\[ \theta = \tan^{-1}\left(\frac{6}{8}\right) \]

\[ \theta \approx 36.87^\circ \]

Now, the bearing is measured clockwise from the north direction. So, the bearing of R from P is:

\[ \text{Bearing} = 360^\circ - 36.87^\circ \]

\[ \text{Bearing} \approx 323.13^\circ \]

The nearest degree is **323°**.

Therefore, the correct answer is 323°