Question

a person walks 45m East and then walks 33m at an angle 22 degrees North of East. What is the magnitude of the total displacement?

Answer 1

The magnitude of the total displacement is the distance between two final points. In our case we will have:

$$m = \sqrt {4 5 ^ {2} + 3 3 ^ {2} - 2 \cdot 4 5 \cdot 3 3 \cdot \cos (1 8 0 {}^ {\circ} - 2 2 {}^ {\circ})} \approx 7 6. 6 \text { meters}.$$

Answer: 76.6 meters.