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Q148 (IAS/2000) Geography › Maps & Locations › Thematic map skills Answer Verified

A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D. The shortest distance between the starting point and destination is

Result
Your answer: —  Â·  Correct: C
Explanation

Place A at the origin (0,0). From A to B: 3 km east, so B = (3,0). Turning left from east faces north; thrice AB = 9 km north to C, so C = (3,9). Turning left from north faces west; five times AB = 15 km west leads to D with coordinates x = 3 − 15 = −12 and y = 9, so D = (−12,9). The straight-line distance AD = sqrt[(-12)^2 + 9^2] = sqrt(144 + 81) = sqrt(225) = 15 km. Hence the shortest distance between the starting point and destination is 15 km (option 3).

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