P started from his house towards west. After walking a distance of 25 m. He…
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P started from his house towards west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this he is to turn right at 135o and to cover 30 m. In which direction should he go?
- A.
West
- B.
South
- C.
South-West
- D.
South-East
Attempted by 5 students.
Show answer & explanation
Correct answer: C
Answer: South-West
Step-by-step position tracking (start at (0,0)):
Move 25 m west → position becomes (-25, 0).
Turn right (now facing north) and walk 10 m → position becomes (-25, 10).
Turn right again (now facing east) and walk 15 m → position becomes (-10, 10).
Turn right by 135° from east: a clockwise rotation of 135° from east points toward the south-west direction (direction vector ≈ (-0.707, -0.707)). Walk 30 m along this direction → displacement ≈ (-21.21, -21.21), giving final position ≈ (-31.21, -11.21).
Because the final movement has both west (negative x) and south (negative y) components, the direction is South-West.