It appears the same rotation for every brach.
Is this not the correct way to randomize a loop?
for (var i:Number=0; i<branchAmount; i++) {
branch.graphics.lineStyle(1, 0x333333,1);
branch.graphics.moveTo(0,0);
branch.graphics.lineTo(0,-50);
branch.x=trunks.x;
branch.y=trunks.y;
branch.rotation=Math.floor(Math.random()*160)-90;
branchArray.push(branch);
addChild(branch);
}