Andy and Tom left school at the same time and headed in different directions. Andy traveled due east to his home, while Tom traveled northeast to the park located exactly 1 mile north of Andy's home. Find the angle between their separate routes, to the nearest tenth of a degree.

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. A right angle triangle is formed. This is so because each route is along the eight cardinal points.

AB represents Andy's direction of travel due east. B represents Andy's home.

AC represents Tom's direction of travel due north east. C represents the park.

the angle between their separate routes is the angle between AB and AC. This angle is 45°(north east is 45°)