A person walks 27.0° north of east for 4.00 km. How far due north and how far due east would she have to walk to arrive at the same location?

Along North, 1.816 km

Along east, 3.564 km

Explanation:

d = 4 km 27° North of east

As we need to find the distance traveled due north and the distance traveled due east, they are the components along north and along east. The component along north is the vertical component and the distance traveled along east is the horizontal component.

Distance traveled due North

y = d Sin 27 = 4 Sin 27 = 1.816 km

Distance traveled due east

x = d cos 27 = 4 cos 27 = 3.564 km