A hiker begins a trip by first walking $25\mathrm{.}0$ km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks $40\mathrm{.}0$ km in a direction $60\mathrm{.}0\backslash$deg north of east, at which point she discovers a forest ranger's tower.

$($A$)$ Determine the components of the hiker's displacement for each day.