Answer:
7.07 km
Explanation:
The 5 km N and then 5 km E will form two sides of a right triangle. Use the Pythagorean Theorem to calculate the hypotenuse, x, which will be the person's displacement.
[tex]5^{2}[/tex] + [tex]5^{2}[/tex] = [tex]x^{2}[/tex]
x = 7.07 km NE
The displacement is closest to 7.07 km. Displacement is the shortest distance between the two points.
Displacement is defined as the shortest distance between the two points. Distance is the horizontal length covered by the body. While displacement is the shortest distance between the two points.
Displacement is a vector quantity .its unit is m.
Two sides of a right triangle will be formed by the 5 km N and then the 5 km E.
AB is the displacement
BC is the displacement in east
CA is the displacement in west
The displacement is found as;
[tex]\rm H^2 = P^2 +B^2 \\\\ AB^2 = BC^2+CA^2 \\\\ AB=\sqrt{5^2+5^2} \\\\ AB=7.07\ kM[/tex]
Hence the displacement is closest to 7.07 km.
To learn more about displacement refer to the link;
https://brainly.com/question/10919017
