Before going ahead with applying shadow, you need to create a design of an object. Once that is done, create a copy
of that object and apply black color on it. After this step, select the black replica and the follow the steps to create the shadow.

• Click on "Free Transform Tool" or press 'T'. The "Free Transform Tool" works only on control points (the six points you see on the rectangular structure when you select an object.)

Name:  Illustrator 10 - Creating perspective shadow.jpg
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• Press the mouse button once the cursor is on the top middle control point, press the "Ctrl" button and drag the mouse to the right if you want the shadow to be on the right. This will shorten the height of the object and at the same time, distort the shape by adding a perspective to it.

• Press "Ctrl" + "[". This will arrange the position of the objects. The black replica will be placed behind your object.

• Click on "View" and tick the option, "Snap to Point", This will help in checking whether the anchor points (the points which help a vector graphic to take a shape) at the original and the replicated objects are converging or not.

• Deselect the black replica and click on the anchor point.

• Drag the black replica. While dragging, you will find the cursor has changed from an arrow to a black arrowhead. The moment the points converge, the black arrowhead changes to a white one.