Question

For five days, several hikers walk the distance and direction described by the vector

Answer 1

Answer:

  94.76°

Step-by-step explanation:

Assuming the coordinates are <E, N>, the total distance from the start is ...

  5<5, -2> +<-1, 8> = <5·5 -1, 5(-2) +8> = <24, -2>

These coordinates represent a vector south of east, so the bearing measured clockwise from north will be greater than 90°. The reference angle (with respect to a north-south line) will be ...

  arctan(24/2) = 85.24°

The bearing is 180° -85.24° = 94.76°.