Answer:
22.5
Explanation:
A car moves 12 on north so it will a vertical length of 12.
It also moves 19 km east so it will have a horizontal length of 19.
Since north and south have different vectors, or different slope they will form perpendicular lines so it forms a right angle.
Since it has a right angle and it ask for displacement (which is the distance between the two directions) we use the pythagorean theorem.
[tex]r {}^{2} = {a}^{2} + {b}^{2} [/tex]
where r is displacement and a and b are the vectors.
[tex] {r}^{2} = {12}^{2} + {19}^{2} [/tex]
[tex] {r}^{2} = 144 + 361[/tex]
[tex] {r}^{2} = 505[/tex]
[tex] {r}^{2} = \sqrt{505} [/tex]
which is about 22.5
