Vector Problem Homework: Finding Cyclist B's Route to Campground

[theintarnets]

Homework Statement

Two cyclists, A and B, start off traveling to a campground. Cyclist A travels due east for 1240m, then turns north and travels for 1600m, ending at the campground.
Cyclist B starts off going north for 1960m, then stops, confused and lost, and asks for directions. Calculate the vector that will take cyclist B to the campground, specifying both magnitude and direction.

Homework Equations

The Attempt at a Solution

I've attached an image of my attempt. I'm not sure if it's correct or not. If someone could take a look at it and point me in the right direction, I'd really appreciate it! My final answer is that the cyclist must travel 16.19° South of East for 1291 m, but I really want to make sure my process is correct.

 

[SammyS]

Homework Statement

Two cyclists, A and B, start off traveling to a campground. Cyclist A travels due east for 1240m, then turns north and travels for 1600m, ending at the campground.
Cyclist B starts off going north for 1960m, then stops, confused and lost, and asks for directions. Calculate the vector that will take cyclist B to the campground, specifying both magnitude and direction.

Homework Equations

The Attempt at a Solution

I've attached an image of my attempt. I'm not sure if it's correct or not. If someone could take a look at it and point me in the right direction, I'd really appreciate it! My final answer is that the cyclist must travel 16.19° South of East for 1291 m, but I really want to make sure my process is correct.

That looks fine to me !