John walks 7 blocks west and then 13 blocks north, then makes a right and walks 7 blocks east and makes another right and walks 15 blocks south. How far is John from his previous location?
(13-7)(15-7)
6-8=2
I just don't know if it's 2 blocks south or north
To find how far John is from his previous location, we need to calculate the overall displacement in both the north-south (vertical) and east-west (horizontal) directions.
Starting with the westward walk of 7 blocks, that can be represented as -7 in the east-west direction (considering west as negative direction).
Then, the northward walk of 13 blocks can be represented as +13 in the north-south direction (considering north as positive direction).
After making a right turn, John walks 7 blocks east. So, this can be represented as +7 in the east-west direction.
Finally, after another right turn, John walks 15 blocks south. So, this can be represented as -15 in the north-south direction.
Now, to find the overall displacement, we need to find the horizontal and vertical components separately.
Horizontal component: -7 + 7 = 0 (John's east-west displacement cancels out).
Vertical component: +13 - 15 = -2 (John's north-south displacement results in 2 blocks south).
So, John is 2 blocks south from his previous location.