Rahul went 8 km north from A to B, turned right and went 7 km to C, took the first right and went 5 km to D, took another right and went 7 km to E, and finally turned right and went 3 km to F. What is the distance between points B and F?
A1 km
B2 km ✓ Correct
C3 km
D4 km
Correct answer: (B) 2 km
Explanation
B and F are 2 km apart.
Using coordinates with A at (0,0): north 8 gives B = (0,8).
Right (east) 7 gives C = (7,8); right (south) 5 gives D = (7,3).
Right (west) 7 gives E = (0,3); right (north) 3 gives F = (0,6).
B = (0,8) and F = (0,6) lie on the same vertical line.
Distance = 8 - 6 = 2 km.
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