all the city blocks in vestal are the same size. Jaimie starts her paper route at the corner of two streets. She goes 8 blocks south, 13 blocks west, 8 blocks north and 6 blocks east. How far is she from her starting point when she is done? Draw a Diagram.
she goes 8 up and 8 down
she goes 13 left and 6 right
so she ends up 7 left (west)
How did you get 7 left?
Thanks!
You are welcome :)
To find out how far Jaimie is from her starting point, we need to calculate the distance using the given information. Let's start by drawing a diagram to visualize the route.
First, draw a starting point at the corner of two streets. Label it as "A."
From point A, draw a line going south for 8 blocks. Label the end point "B."
From point B, draw a line going west for 13 blocks. Label the end point "C."
From point C, draw a line going north for 8 blocks. Label the end point "D."
Finally, from point D, draw a line going east for 6 blocks. Mark the end point as "E."
Now, to calculate the distance, we need to find the lengths of segments BC and DE, because the route forms a right triangle.
Since all the city blocks in Vestal have the same size, we can assume that each block represents the same distance.
From B to C, Jaimie went 13 blocks west, and from D to E, she went 6 blocks east.
Thus, segments BC and DE are equal in length.
To find the length of BC and DE, we can add up the distances traveled in each direction.
Jaimie went 13 blocks west and 6 blocks east, so the total horizontal distance is 13 + 6 = 19 blocks.
Since each block represents the same distance, the length of segment BC and DE is 19 blocks.
Now, to find the distance of Jaimie from her starting point, we need to find the length of segment AD, which is the vertical distance.
Jaimie went 8 blocks south and then 8 blocks north, so the total vertical distance is 8 + 8 = 16 blocks.
Since each block represents the same distance, the length of segment AD is 16 blocks.
Now we have a right triangle with sides 16 blocks and 19 blocks.
We can use the Pythagorean theorem to find the length of the hypotenuse, which represents the distance Jaimie is from her starting point.
The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Using the theorem, we can find the distance as follows:
Distance = square root of (16^2 + 19^2)
Distance = square root of (256 + 361)
Distance = square root of 617
Distance ≈ 24.8 blocks (rounded to one decimal place)
Therefore, when Jaimie is done with her route, she is approximately 24.8 blocks away from her starting point.