Answer :
Answer:
Step-by-step explanation:
The man's **resultant vector** from his starting point can be calculated using the Pythagorean theorem. Let's break it down:
1. **Horizontal component (east)**: He walks 2.6 miles east.
2. **Vertical component (north)**: He then turns and walks 6.7 miles north.
To find the resultant vector (the hypotenuse of the right triangle), we use the formula:
$ \text{Resultant vector} = \sqrt{\text{horizontal component}^2 + \text{vertical component}^2} $
Plugging in the values:
$ \text{Resultant vector} = \sqrt{2.6^2 + 6.7^2} \approx \sqrt{51.65} \approx 7.1 \text{ miles} $
Therefore, the man is approximately **7.1 miles** north of east from his starting point ¹². ♂️
If you have any more questions or need further assistance, feel free to ask!
