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.