Question

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

52^0
164^0
134^0
159^0

Answer 1

Answer on Question #46304 – Math – Trigonometry

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

52^0

164^0

134^0

159^0

Solution.

The bearing of Q from P :

$$B = 180^0 - \arctan \left(\frac{RQ}{RP}\right) = 180^0 - \arctan \left(\frac{7}{24}\right) \approx 180^0 - 16^0 = 164^0.$$

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