Question

Sandra leaves the bakery to deliver birthday cakes. She goes 5 kilometers east, 5 kilometers north, and 5 kilometers west. How far and in which direction must Sandra go to get back to the bakery?
20 kilometers south
5 kilometers south
20 kilometers north
5 kilometers north
please answer this correctly

Answer 1

Answer:

5 kilometers south

Step-by-step explanation:

5 kilometers east  5 units right

5 kilometers north  5 units up

5 kilometers west  5 units left

The right and left cancel  so we are left 5 units up at this time

we are 5 units north at this time

To get back we must go 5 units down, which is 5 km south

Answer 2

Answer:

There is another way to go south, west and north one kilometer and end up at the original point without starting at the North Pole*.  Start 1+1/(2π) kilometers (approx. 1.16Km) from the South Pole. Walk one kilometer south, then one kilometer west (which is a complete 1 Km circle around the South Pole), and finally, one kilometer north to the starting point. However, there are no bears in Antarctica; there are only penguins.

In the following image, the red circle represents a one-kilometer circle around the South Pole. The purple circle is separated from the red circle by one kilometer. If you start anywhere on the purple circle and walk toward the South Pole, then, upon reaching the red circle you walk west around the South Pole, and finally you walk north to the purple circle, you will have walked three kilometers and ended up at the same place from where you started.

Step-by-step explanation: