Two beetles run across flat sand, starting at the same point

[HappyFlower]

Homework Statement

Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50 m due east, then 0.80 m at 30◦ north of due east. Beetle 2 also makes two runs; the first is 1.6 m at 40◦ east of due north. What must be (a) the magnitude and (b) the direction of its second run if it is to end up at the new location of beetle 1?

Homework Equations

The Attempt at a Solution

I set up the vector, but the problem i am having is where to start for finding the answer i need. On the picture which is included below.

 

[TSny]

Let A and B be the two displacements of beetle 1. Let C and D be the two displacements of beetle 2.

Can you write a single vector equation that shows how these 4 vectors are related?

 

[HappyFlower]

Let A and B be the two displacements of beetle 1. Let C and D be the two displacements of beetle 2.

Can you write a single vector equation that shows how these 4 vectors are related?

I could but i am trying to use triangles to find the answers.

 

[TSny]

How far east did beetle 1 go in total?
How far north did beetle 1 go in total?

How far east did beetle 2 go in its first run?
How far north did beetle 2 go in its first run?