Mr. Yorly starts from Point A and drives 11 km towards West. He then takes a left turn, drives 13 km, turns left and drives 30 km. He then takes a left turn, drives 26 km, turns left and drives 5 km. He then takes a left turn and drives 8 km. He takes a final right turn, drives 14 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degree turns only unless specified.)
5 km to the South
Starting at A=(0,0) facing West, driving 11 km West gives (-11,0).
Left turn (West to South), 13 km South: (-11,-13). Left turn (South to East), 30 km East: (19,-13).
Left turn (East to North), 26 km North: (19,13). Left turn (North to West), 5 km West: (14,13).
Left turn (West to South), 8 km South: (14,5). Final right turn (South to West), 14 km West, reaching Point P=(0,5).
Point A is at (0,0); Point P is at (0,5), directly above A.
Hence, Mr. Yorly should drive 5 km to the South to reach Point A again.
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Important Questions from Direction and Distance Turns
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A. 35
B. 20
C. 25
D. 40
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In which direction is the man facing now?
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