The distance that Jake walks is 5 meters.
Both north and west directions are orthogonal to each other, that is, perpendicular to each other. Hence, we can determine the resulting distance by means of the Pythagorean Theorem:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
- [tex]r[/tex] - Resulting distance, in meters.
- [tex]x[/tex] - Distance to the west, in meters.
- [tex]y[/tex] - Distance to the north, in meters.
If we know that [tex]x = 3\,m[/tex] and [tex]y = 4\,m[/tex], then the resulting distance is:
[tex]r = \sqrt{(3\,m)^{2}+(4\,m)^{2}}[/tex]
[tex]r = 5\,m[/tex]
The distance that Jake walks is 5 meters.
We kindly invite to check this question on distances: https://brainly.com/question/21599807
