Question

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.

Answer 1

Answer: 23°

Explanation:

Answer 2

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°)