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.
A
24°
B
56°
C
127°
D
156°
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\tan \theta = \frac{9}{20} = 0.45\)
\(\theta = \tan^{-1} (0.45) \)
= 24.23^\circ
\(\therefore\) The bearing of Y from X = 180^\circ - 24.23^\circ
= 155.77^\circ
= 156^\circ (to the nearest degree)
Source: Myschool Past Questions Archive (Record #55282)