A hiker begins a trip by first walking 25 km 45 degrees south of east from her base camp. On the second day she walks 40 km in a direction 60 degrees north of east, at which point she discovers a forest ranger's tower. Determine the components of the displacements in the first and second days. Determine the components of the hiker's total displacement for the trip. Find the magnitude and direction of the displacement from base camp.