Sketch the movement.

The angle formed by the 2km and 3km legs is the supplement of the 35 degree angle west of north:

180 - 35 = 145 degrees

We now know the length of two sides and one angle.

The side opposite the known angle is the direct distance, 'a', (a >=0) between the starting and ending points.

Using the Law of Cosines:

a^2 = b^2 + c^2 - 2bc(cosA)

a^2 = 2^2 + 3^2 - 2*2*3*(cos(145))

by solving we find:

a = 4.78km (positive root)

click here to see the step by step calculation:

To determine the bearing from the starting point, we must determine the angle, C, between the first leg and the direct path.

Using the Law of Sines:

4.78/sin145 = 3/sinC

by solving we find:

C = 21.1 degrees

So the distance and bearing of the endpoint from the starting point is 4.78km North 21.1 degrees West.