posted by Anne on .
Suppose you walk 18.0m straight west and then 25.0 m straight north. How far are you from your starting point and what is the compass direction of a line connecting your starting point to your final position>
Draw a diagram. Your trip forms the legs of a right triangle with legs 18 and 25.
So, the final displacement is √(18^2+25^2) = 30.8
The angle θ is such that
tanθ = 25/-18 = 125.75° or -234.25°
The compass bearing is 90°-θ = 324.25°