Mathematics

Points P and Q respectively 24m north and 7m east point R. What is the…

Points P and Q respectively 24m north and 7m east point R. What is the bearing of Q from P to the nearest whole degree?

  • A.
    16o
  • B.
    17o
  • C.
    73o
  • D.
    106o
  • E.
    164o
Correct Answer: Option E
Explanation

(tan P = frac{7}{24})

(tan P = 0.2917)

(P = tan^{-1} (0.2917))

= 16.26° 

Bearing of Q from P = 180° – 16.26°

= 163.74° (approxeq) 164°