Final answer:
To find the magnitude of the displacement, we need to add the two displacements together using the parallelogram method. The magnitude of the resultant displacement is approximately 37.73 km.
Step-by-step explanation:
To find the magnitude of the displacement, we need to find the resultant displacement by adding the two displacements together. The first displacement is 20 km towards the North, which can be represented as vector A. The second displacement is 35 km at an angle of 60° towards the West of North, which can be represented as vector B.
To add these two displacements, we can use the parallelogram method. Starting from the initial position, we first draw vector A, then draw vector B starting from the tip of vector A. The resultant displacement is the vector that starts from the initial position and ends at the tip of vector B. We can measure its magnitude using a ruler or calculating it using trigonometry.
In this case, the magnitude of the resultant displacement is approximately 37.73 km.