Mathematics

Points X and Y are respectively 20km North and 9km East of a point O….

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
Correct Answer: Option C
Explanation

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°