Electric Field Problem

1. The problem statement, all variables and given/known data
A +8·µC charge is located at coordinates (3,5)·m, and a -2·µC charge is located at coordinates (3,-2)·m. Find the electric field at the origin.
E= ? V/m x + ? V/m y

(It asks for the solution in x and y components)

2. Relevant equations
I was using E=kq/r^2, where E is the electric field vector (Away if positive, towards if negative) K was 9x10^9, q is the value of the charge.


3. The attempt at a solution
First I used pythagorean theorem to determine distance to origin. Then I used this value for r.
Using the formula for the +8 charge I get E=2117.61 and for the -2 charge I got E=1376.63. Then I used the trig functions from the triangles to solve for the components, which I thern added together for the wrong answer. Where have I gone wrong here?

 

The angles from the original triangles are used to calculate the components, correct? I was treating the +8 charge as my negative vector as electric fields point outwards from positive charges, right?

 

I finally got the correct answer, my problem was rounding a bit too much.