A person walks 7 km East, then turns 90 degrees to the right and walks 8 km,…
2023
A person walks 7 km East, then turns 90 degrees to the right and walks 8 km, then turns left and walks 5 km. In which direction is the person now from the starting point ?
- A.
North-west
- B.
South-east
- C.
South-west
- D.
North-east
Attempted by 27 students.
Show answer & explanation
Correct answer: B
To find the final direction, let's track the movement step-by-step using a coordinate system, starting at (0, 0).
Step-by-Step Movement Analysis
Movement 1: Walk 7 km East.
New position: (7, 0)
Movement 2: Turn 90 degrees right and walk 8 km. (Turning right from East faces South).
New position: (7, -8)
Movement 3: Turn left and walk 5 km. (Turning left from South faces East).
New position: (7 + 5, -8) = (12, -8)
Determining Direction
Your final position is (12, -8).
Since the x-coordinate (12) is positive, you are East of the starting point.
Since the y-coordinate (-8) is negative, you are South of the starting point.
Combining these, the direction from the starting point is South-East.