Answer :
Final answer:
The total displacement using vector addition, involving a two-leg journey first going north and then in a slightly northeast direction.
Explanation:
The question involves calculating the total displacement from the starting point after moving in two legs, first to the north and then in a direction slightly east of north. To find the total displacement, we use vector addition, considering the two legs of the journey as vectors. Since the directions change, trigonometry will be needed to calculate the resultant vector's magnitude and direction.
First, you move 59.1 m north. Then, turning 7.4 degrees to your right (or east) from the north, you walk 71.0 m. The direction of this second leg of the journey is 82.6 degrees (90 - 7.4) north of east.
To find out how far you are from the original starting point after these movements, we can represent each leg as a vector and then calculate the resultant vector (the direct path back to the start). This calculation involves breaking down the second vector into its northward and eastward components, and then using the Pythagorean theorem to find the magnitude of the resultant vector.
