Answer:
10.0m
Explanation:
displacement is the distance from the initial point to the final point; so we need to figure out how far away the dog would be after walking 8m North and 6m East.
The two directions are perpendicular, forming a right angle. Because of this, we can use the Pythagorean theorem to find the distance.
[the Pythagorean theorem is essentially that in a right angled triangle,
[tex]hypotenuse^{2} = sidea^2 +sideb^2[/tex], shortened to [tex]a^2 + b^2 = c^2[/tex]]
setting up our right triangle, we can put East and North as the two sides, because they are perpendicular (forming a right angle)
side a : North, length of 8m
side b: East, length of 6m
side c: displacement of dog
a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
So, the dog's displacement [side C] is 10m
