#  >> K-12 >> Mathematics

If a person left place and went 8 blocks west then 4 south 3 east 2 north 5 how many is he away from where left?

To calculate the final distance, we need to find the net displacement in the east-west direction and the net displacement in the north-south direction.

Net displacement in the east-west direction:

Starting from the original location, the person moved 8 blocks west (negative displacement) and then moved 3 blocks east (positive displacement).

Net displacement in the east-west direction = -8 + 3 = -5 blocks west

Net displacement in the north-south direction:

Starting from the original location, the person moved 4 blocks south (negative displacement) and then moved 2 blocks north (positive displacement).

Net displacement in the north-south direction = -4 + 2 = -2 blocks south

Now, we can use the Pythagorean theorem to find the total displacement from the original location.

Total displacement = √((-5)^2 + (-2)^2)

Total displacement = √(25 + 4)

Total displacement = √29 ≈ 5.39 blocks

Therefore, the person is approximately 5.39 blocks away from the place where they left.

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