Finding the End Point of a Transformed Vector

[magnifik]

Homework Statement

The origin (0,0) is in the upper left corner of the image. +x axis goes to the right while +y axis goes down. The artist draws a line from the pixel location (10,20) to the location (210,200) . She wishes to draw a second line that starts at (10,20), is 270 pixels long, and is at angle of 30deg measured clockwise from the first line. At which pixel location should this second line end? Give your answer to the nearest pixel.

 

[ideasrule]

Where are your relevant equations? Where's your attempt at a solution?

 

[magnifik]

Where are your relevant equations? Where's your attempt at a solution?

I tried solving for the magnitude, but realized I had two missing variables i had to solve for
250=sqrt[(10+x)^2 + (20+y)^2] .. this didn't work
i tried adding the first two vectors to get (220,220) but didn't know what to do after that

i'm just lost...