A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp.On the second day she walks 40.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger’s tower.Find the magnitude of the displacement from base camp.

Question

X=(25 COS 45) + (40 SIN 60) 
Y= (-25 SIN 45) + (40 COS 60)

Damon · Answer

so the magnitude is sqrt(X^2+Y^2)

Anonymous · Answer

38 km