Question

jackson is 54 miles from Lazy R resort. Ontario is 31 miles south of jackson. A land developer proposes building a shortcut road directly connect ontario and Lazy R Draw a picture and find the length of this new road

Answer 1

Let A represents Jack's point, O represents Ontario and R represents the Lazy R resort. The figure showing the positions will be as in the figure shown:

The shortest distance will be found using the Pythagorean theorem:
c²=a²+b²
plugging the values you get:
c²=54²+31²
c²=3877
c=62.266 miles