Question

Starting from home Jamie walks 2 blocks north, 3 blocks east, 1 block north, 3 blocks east, 1 block north, 5 blocks east, and 1 block north.

How far did Jamie walk in total if each block is 150 meters long?

How far is Jamie from home in meters, as the crow flies?

Answer 1

To find the total distance Jamie walked, we can add up the distances walked in each direction:

2 blocks north * 150 meters/block = 300 meters
3 blocks east * 150 meters/block = 450 meters
1 block north * 150 meters/block = 150 meters
3 blocks east * 150 meters/block = 450 meters
1 block north * 150 meters/block = 150 meters
5 blocks east * 150 meters/block = 750 meters
1 block north * 150 meters/block = 150 meters

Now, sum these distances:

300 + 450 + 150 + 450 + 150 + 750 + 150 = 2350 meters

So, Jamie walked a total of 2350 meters.

To find how far Jamie is from home as the crow flies, we can use the Pythagorean theorem since Jamie made right-angle turns:

Jamie walked 2 blocks north and 9 blocks east, forming a right-angled triangle. We can calculate the hypotenuse (the distance from home) using:

Distance = √((2 blocks * 150 meters/block)^2 + (9 blocks * 150 meters/block)^2)

Distance = √((300^2) + (1350^2))

Distance = √(90000 + 1822500)

Distance = √1912500

Distance ≈ 1383.17 meters

So, Jamie is approximately 1383.17 meters away from home as the crow flies.