JAMB Mathematics 2019 Objective — Question 29

Question 29 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

An aeroplane flies due north from airports P to Q and then flies due east to R. If Q is equidistant from P and R, find the bearing of P from R

A. 090°
B. 135°
C. 225°Correct
D. 270°

Explanation

Since Q is equidistant from P and R, triangle PQR is right-angled isosceles, so angles at P and R (of the triangle) are each 45°. The bearing of P from R = 270°−45° = 225°.

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