A girl delivering newspapers covers her route by traveling 9.00 blocks west, 3.00 blocks north, and then 1.00 blocks east. What is the total distance she travels?
9+3+1 = 13 blocks
I think the answer is correct what about the displacement
To find the total distance the girl travels, we need to calculate the sum of the distances traveled in each direction.
First, let's calculate the distance traveled west:
The girl travels 9.00 blocks west.
Next, let's calculate the distance traveled north:
The girl travels 3.00 blocks north.
Lastly, let's calculate the distance traveled east:
The girl travels 1.00 block east.
Now, let's calculate the total distance traveled:
To calculate the total distance, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, traveling west and then east cancels each other out, as these directions are opposite. Therefore, we only need to consider the distance traveled north.
The total distance traveled is given by:
Total distance = √(west squared + north squared)
Plugging in the values, we get:
Total distance = √(9.00^2 + 3.00^2)
Total distance = √(81.00 + 9.00)
Total distance = √90.00
Total distance ≈ 9.49 blocks (rounded to two decimal places)
Therefore, the total distance the girl travels is approximately 9.49 blocks.