Jake and maddie each take the closest path from their homes to the store. based on the picture below, what is the approximate difference in the distance each person traveled to the store?

To solve this problem you must apply the proccedure shown below:

 1- You can apply the Law of sines, as following:

 The missing angle is: 180°-65°-45°=70°

 - The distance that Jake travels to the store is:

 30/Sin(70°)=x/Sin(45°)
 x=22.57

 - The distance that Maddie travels to the store is:

 30/Sin(70°)=y/Sin(65°)
 y=28.93

 - The diffrence is: 6.36

 The answer is: the difference is 6.36 m.