Vector addition using components

[chocolaterie]

Homework Statement

You will be hiking to a lake with some of your friends. the map says you will travel 1.6 mi north then 2.2 mi in a direction 35 degrees east of north, then finally 1.1 mi in a direction 15 degrees north of east. how far will you be from where you started and what direction will you be from your starting point?

The Attempt at a Solution

I have no idea where to start. I drew a graph with 1.6 mi on the y-axis going north.

 

[mikelepore]

When you have a right triangle, remember the definition of the sine and cosine of an angle. Try to use that to write down the x component and y component of each part of the motion. Add up all the x components, and in a separate step add up all the y components.