Assuming you have the angle you'd like to move in and an object with x and y values you want to move:
var position:Point = new Point(10, 10);
var angle:Number = 1.25;
You can move along the x axis with Math.cos:
position.x += Math.cos(angle);
And the y axis with Math.sin:
position.y += Math.sin(angle);
You can of course multiply the result of Math.cos and Math.sin by the distance you want to travel:
var distance:int = 20;
position.x += Math.cos(angle) * distance;
position.y += Math.sin(angle) * distance;
Note: The input angle must be in radians.