Where Are We?

This picture was taken by my friend Ryan during my other friend, Cali's birthday party. Our task was to go on a scavenger hunt around her neighborhood, St. Louis Heights. In this picture, the instructions were to look lost. We're good actors huh? Cali's house was on the main street, but to find certain things, we had to go down streets perpendicular to hers. In order to reach the place where we are in the picture (Wa'ahila Ridge), we had to walk in the north direction from Cali's house, then to the left. The distance was about 150 meters. Then to reach the ridge, we walked about the same distance of 150 meters, but to the east. The total distance traveled was 300 meters. Hypothetically speaking, we can find the distance that it would take to go the diagonal route. Because both distances were equal and a right angle was formed with the path, an isosceles triangle was formed. This means that  the legs of the triangle are x which is 150, so the hypotenuse would be x times the square root of two which is approximately 212 in the south west direction. If a diagonal way were possible, our group would have traveled 88 less meters.