Question

A hiker begins a trip by first walking 22.2 km

Answer 1

9514 1404 393

Answer:

  20.6 km

Step-by-step explanation:

Using (East, North) coordinates, the hiker's position ends up being ...

  22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))

We're only interested in the second coordinate of this total, which is ...

  22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km

The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.