From her house, Archana went 15 km to the North. Then she turned to her left and covered 10 km . Then she turned south and covered 5 km . Finally, turning to her left, she covered 10 km . In which direction is she from her house?
Let's track Archana's position on a coordinate grid, with her house at the origin (0, 0). We'll use the x-axis for East-West movement (+East, -West) and the y-axis for North-South movement (+North, -South).
(0, 0).(0, 15).(0 - 10, 15), which is (-10, 15).(-10, 15 - 5), which is (-10, 10).(-10 + 10, 10), which is (0, 10).To find her final direction from her house, we compare her starting and ending points:
(0, 0)(0, 10)The x-coordinate has returned to 0, meaning there is no net East or West displacement. The y-coordinate is positive, meaning she is 10 km North of her starting point.
Final Answer: She is in the North direction from her house.
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