What is the direction of a person that walks 3.0-km North and 4.0-km East?
To determine the direction of the person who walks 3.0 km North and 4.0 km East, we can utilize the concepts of vectors and resultant displacement.
Step 1: Represent the North and East displacements as vectors.
- The North displacement can be represented as a vector pointing directly upwards.
- The East displacement can be represented as a vector pointing directly towards the right.
Step 2: Combine the vectors to find the resultant displacement.
- First, draw a line representing the North displacement from a starting point.
- Then, draw a line representing the East displacement starting from the end of the North line.
- Connect the starting point of the North line to the endpoint of the East line to form a triangle.
Step 3: Measure the angle between the resultant displacement and the North direction.
- Use a protractor or measure the angle with respect to a known reference point.
The direction can be expressed as an angle or relative to the cardinal directions (e.g., North, South, East, West).