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Sagot :

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

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