Rotating objects in Java Applets

[Unome]

I am trying to create an Archer in Java.

I want to create an Archer that fires an arrow onto a trajectory path. The trajectory can be changed by pressing the "UP" or "DOWN" arrow key. This will move the arm up and down.

I created the Archer graphic. Its a simple network of lines. To correctly move the Arm to the right cordinate, I solved for the x cordinante of a circle (x-h)^2 + (y-k)^2. That was simple enough. When I change the value for the Y (what you control with the arrow keys) the Arm maintains its size and moves the proper place.

THE PROBLEM

I want to mount a bow on the arm. The endpoint of the line for my arm is in the correct place, but if I place a bow on the arm it remains in the same spot. Is there a way to rotate objects in Java? I already move the arm in place, but to calculate the positions on the bow lines requires calculus... I have to find the tangent line to a circle and thats just to attach a single line to the bow... not to mention making a more complex bow. How do you rotate objects? Thats my main question. Is there a method I can call that I can rotate the rest of the object with? Is there any simpler method of undertaking this task? Its impossible that there isn't... theres so many simple flash games and I think I remember that my guns never skewed when I waved them up and down.

Help would bee appreciated


Archer Applet

import java.awt.BasicStroke;
import java.awt.Color;
import java.awt.Graphics2D;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
    
public class Archer
{

        private double x;
        private double y;
        private double armY;
        private double armX;
        private double armxcord;
        private double armycord;
        private double bowslopex;
        private double bowslopey;
        
        public Archer(double aX, double aY, double yarm)
        {
            x = aX;
            y = aY;
            armY = yarm;
            if(armY >= 10)
            {
                armY = 10;
            }
            
        }
        public void ArmX()
        {
            armX = Math.sqrt(-Math.pow(armY, 2)+100);
            armxcord = x + 18 + armX;
            armycord = y + 10 - armY;
        }
        public void Bowslant()
        {
            bowslopex = (armxcord);
        }

        public void draw(Graphics2D g2)
        {
            Ellipse2D.Double head = new Ellipse2D.Double(x,y,10,10);
            Line2D.Double body = new Line2D.Double(x+4,y+10,x+4,y+10);
            Line2D.Double arm = new Line2D.Double(x+4,y+10,armxcord , armycord );
            Line2D.Double bow1 = new Line2D.Double(armxcord, armycord,armxcord-armY, armycord-armX);
            Line2D.Double bow2 = new Line2D.Double(armxcord, armycord,armxcord+armY, armycord+armX);
            g2.setStroke(new BasicStroke(1));
            g2.setColor(Color.black);
            g2.draw(arm);
            g2.setColor(Color.white);
            g2.fill(head);
            g2.setColor(Color.black);
            g2.draw(head);
            g2.draw(body);
            g2.draw(bow1);
            g2.draw(bow2);
            
            g2.setStroke(new BasicStroke(1));
        }

} 

[Unome]

I found that g2.rotate(theta, x, y) will rotate any object. I solved my own problem. You can close this if you want