The angle between the paths of John and Jake who were once facing each other comes to 58°.
What is the definition of angle between paths?
The angle between paths simply refers to sum of the angles of both paths should the line of the paths be extended indefinitely to the point where they both meet.
The problem above is envision as indicated in the attached image. Recall that they were both facing each other - thus creating an imaginary straight line.
Soon as they turned in different directions and walked in that direction, they created two different lines. Hence the total angle between them becomes the sum of the angles with which they turned. Which is
We are asked for the distance between the man and the horizon The straight line from the man to the horizon is a tangent line to the surface of the earth Using Pythagorean theorem (3.7 + 3959)² = 3959² + d²