Question

Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?

Answer 1

25

Explanation:

The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.

d² = y²+x²

Direction through north (along y-axis)

Direction through east (along x-axis)

Given

y = 7units

x = 24units

Substitute

d² = 24²+7²

d² = 576+49

d² = 625

d = √625

d = 25 units

Hence the total distance Noah traveled to school and back home is 25blocks from post office