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Points X and Y are respectively 20km North and ... - WAEC Mathematics 1989 Question

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
correct option: c

tan\(\theta\) = 9/20 = 0.45

\(\theta\) = tan\(^{-1}\) 0.45 = 24.2°

the bearing of y from x = 180 0 - 0 = 180° - 24.2°

the bearing = 155.8°

\(\approxeq\) 156°

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