A car is drive east for a distance of 40 km, then north for 30 km, and then in a direction `30^(@)` east of north for 25 km Sketch the vector diagram and determine (a) the magnitude and (b) the angle of the car's total displacement from its starting point.

Explanation

To solve the problem of determining the total displacement of the car, we will break down the movements into vectors, calculate the resultant vector, and then find both its magnitude and direction.

### Step-by-Step Solution

1. **Define the Movements**:
- The car moves 40 km east.
- Then it moves 30 km north.
- Finally, it moves 25 km at an angle of 30 degrees east of north.
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