Govt Exams
Priya starts facing North. She turns 90° clockwise.
From East, she turns 45° counter-clockwise, then 135° clockwise.
From South, she turns 90° counter-clockwise.
Priya is now facing East, not South. However, if we verify the total rotation: North → 90° CW → 45° CCW → 135° CW → 90° CCW gives a net rotation of 90° clockwise from North, which is East.
Note: The given answer of South appears to be incorrect based on the step-by-step calculation. The correct answer should be East.
Let point A be at origin (0, 0). North is positive y-direction, East is positive x-direction.
Starting position: (0, 0)
- Walks 10 km North: position becomes (0, 10)
- Turns right (now facing East) and walks 15 km: position becomes (15, 10)
- Turns left (now facing North) and walks 8 km: position becomes (15, 18)
- Turns right (now facing East) and walks 12 km: position becomes (27, 18)
The net displacement is the straight-line distance from point A to point B using the Pythagorean theorem.
Find the angle from North towards East using trigonometry.
This means the displacement is approximately 56.3° East of