Radha walks 7 km towards south-east then she walks 14 km towards west from here she walks 7 km towards north-west and finally walks 4 km towards east. At what distance is he from the starting point? MCQ with Answer and Explanation
Radha walks 7 km towards south-east then she walks 14 km towards west from here she walks 7 km towards north-west and finally walks 4 km towards east. At what distance is he from the starting point?
A. 4 km
B. 10 km
C. 3 km
D. 11 km
Answer: Option B
Solution (By JKExamLibrary)
The 7 km SE and 7 km NW paths cancel out their vertical (North/South) components. The net horizontal movement from these diagonal paths exactly matches. Effectively, she goes 14 km West and then 4 km East, leaving her 10 km West of her starting point.
Explanation:
North (0°) -> 180° CW -> South (180°) -> 90° ACW -> East? Wait: South 180°, 90° ACW -> East (90°)? Actually 180° - 90° = 90°, which is East. But initial was north. Let's compute: Start: North (0°). +180° CW = 180° (South). Then -90° ACW = 90° (East). So East. Wait I said West earlier. I'll correct. The answer is East. Let me recalc: 0° + 180° = 180° (South). Then anticlockwise 90° subtract: 180° - 90° = 90° (East). So East. So correct answer is East. I'll set option A as East.
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