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    Question

    Vikas took a bus from a bus stop. The bus travelled 50 m

    towards the west. Then, it took a right turn and travelled 70 m. Then, it took a left turn and travelled 15 m. Then, it took a left turn and travelled 30 m. Then, it took a left turn and travelled 35 m. Then, it took a right turn and travelled 10 m. Finally, it took a left turn and travelled 30 m to reach the school. How far and in which direction is the bus stop from the school? (All turns are 90-degree turns only)
    A 30 m, South Correct Answer Incorrect Answer
    B 30 m, North Correct Answer Incorrect Answer
    C 40 m, South Correct Answer Incorrect Answer
    D 40 m, East Correct Answer Incorrect Answer

    Solution

    Bus moves 50 m west Position: (-50, 0) Takes a right turn (north) and travels 70 m Position: (-50, 70) Takes a left turn (west) and travels 15 m Position: (-65, 70) Takes a left turn (south) and travels 30 m Position: (-65, 40) Takes a left turn (east) and travels 35 m Position: (-30, 40) Takes a right turn (south) and travels 10 m Position: (-30, 30) Takes a left turn (east) and travels 30 m   Position: (0, 30) → This is the school. Distance and Direction from the Bus Stop (0,0) to the School (0,30): Distance = 30 30 m Direction = North Answer: 30 m, North

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