WAEC Further Mathematics 2022 Objective — Question 20

Question 20 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Given that P=(−4,−5) and Q=(2,3), express PQ in the form (k,θ), where k is the magnitude and θ is the bearing.

A. (10 units, 063°)
B. (9 units, 049°)
C. (10 units, 037°)Correct
D. (9 units, 027°)

Explanation

PQ=Q−P=(6,8), so |PQ|=√(36+64)=10 units. The angle from the y-axis (bearing) works out to 037° (found via 90°−tan⁻¹(8/6)).

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