A delivery boy starts from the warehouse and goes West to deliver a parcel. He then goes North to pick another order, then East for another delivery and finally North to a customer location. What is his final direction from the warehouse?
- ANorth-East
- BSouth-East
- CNorth-West
- DSouth-West
Solution & Step-by-step Explanation
Let the warehouse be at the origin .
1. Goes West: Position becomes .
2. Goes North: Position becomes .
3. Goes East: Position becomes .
4. Goes North: Position becomes .
The final coordinates of the delivery boy are .
Relative to the warehouse :
* The x-coordinate is negative (West).
* The y-coordinate is positive (North).
Therefore, his final direction from the warehouse is North-West.
1. Goes West: Position becomes .
2. Goes North: Position becomes .
3. Goes East: Position becomes .
4. Goes North: Position becomes .
The final coordinates of the delivery boy are .
Relative to the warehouse :
* The x-coordinate is negative (West).
* The y-coordinate is positive (North).
Therefore, his final direction from the warehouse is North-West.