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Points X and Y are 20km North and 9km East of point O, respectively. What is the ...

Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.
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  • A 24°
  • B 56°
  • C 127°
  • D 156°
Correct Answer: Option D
Explanation:

\(\tan \theta = \frac{9}{20} = 0.45\)

\(\theta = \tan^{-1} (0.45) \)

= 24.23°

\(\therefore\) The bearing of Y from X = 180° - 24.23°

= 155.77°

= 156° (to the nearest degree)

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