Kavya is standing outside her house watching the sunset. She then performs the following movements :
(a) Turns left and walks 1 km
(b) Turns right and walks 0.5 km
(c) Turns right again and walks 1 km
In which direction is she facing now and what is the shortest distance from her starting point ?
- AFacing West, 0.5 km East of the starting point
- BFacing North, 0.5 km West of the starting point
- CFacing North, standing at the starting point
- DFacing South, 1 km West of the starting point
Solution & Step-by-step Explanation
1. Kavya is watching the sunset, which means she is initially facing West.
2. Movement (a): She turns left (now facing South) and walks . Her position is South of the origin.
3. Movement (b): From South, she turns right (now facing West) and walks . Her position is South and West of the origin.
4. Movement (c): From West, she turns right again (now facing North) and walks . Since she goes North, it cancels out the South displacement.
Her final coordinates put her exactly West of the starting point, facing North.
2. Movement (a): She turns left (now facing South) and walks . Her position is South of the origin.
3. Movement (b): From South, she turns right (now facing West) and walks . Her position is South and West of the origin.
4. Movement (c): From West, she turns right again (now facing North) and walks . Since she goes North, it cancels out the South displacement.
Her final coordinates put her exactly West of the starting point, facing North.