NABTEB Mathematics 2025 Objective — Question 37

Question 37 of 60 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

Two points A and B on the equator have longitudes 162 degrees E and 74 degrees W respectively. What is the shortest distance between them? (pi=22/7, R=6,400km)

A. 26,372.06km
B. 18,102.85km
C. 13,856.50kmCorrect

Explanation

Total angular separation = 162+74 = 236 degrees. Shortest angle = 360-236 = 124 degrees. Distance = 124/360 x 2 x 22/7 x 6400 = 13,856.5km.

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