Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree
A
024o
B
114o
C
156o
D
204o
E
336o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
tan\(\theta\) = 9/20 = 0.45
\(\theta\) = tan\(^{-1}\) 0.45 = 24.2^\circ
the bearing of y from x = 180 0 - 0 = 180^\circ - 24.2^\circ
the bearing = 155.8^\circ
\(\approxeq\) 156^\circ
Source: Myschool Past Questions Archive (Record #22359)