Compass-direction and shortest-distance problems.
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Q1 · Direction and Distance · EASY
A person starts from point P and walks 12 m towards North. Then he turns left and walks 5 m. Finally, he turns left again and walks 8 m. What is the shortest distance between his starting point and final position?
Q2 · Direction and Distance · EASY
Ramesh walks 15 m towards South from his house. Then he turns right and walks 20 m. After that, he turns right again and walks 15 m. In which direction is he now from his starting point?
Q3 · Direction and Distance · MEDIUM
A man starts from point A and walks 8 m towards East to reach point B. From B, he walks 6 m towards North to reach point C. From C, he walks 4 m towards West to reach point D. What is the shortest distance between point A and point D?
Q4 · Direction and Distance · MEDIUM
Priya walks 10 m towards North from her office. Then she turns left and walks 6 m, then turns left again and walks 10 m, then turns right and walks 4 m, and finally turns right and walks 5 m. How far is she from her office and in which direction?
Q5 · Direction and Distance · HARD
Starting from point P, Rohan walks 9 m towards North. He then takes a right turn and walks 12 m, then turns right again and walks 5 m, then turns left and walks 8 m, then turns left and walks 4 m, and finally turns left and walks 20 m. In which direction is point P with respect to his final position?