Question

Pls help thank youuu

Answer 1

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.

$r {}^{2} = {a}^{2} + {b}^{2}$

where r is displacement and a and b are the vectors.

${r}^{2} = {12}^{2} + {19}^{2}$

${r}^{2} = 144 + 361$

${r}^{2} = 505$

${r}^{2} = \sqrt{505}$

which is about 22.5