Earth Shadow Tapering: Why Does It Happen?

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The Earth casts a shadow. Why does this shadow taper?
 
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Venus also casts a shadow. On Earth we just see a small spot when Venus transits the Sun.
 
Because the Sun is not a point source of light but an extended object. Does that answer your question or have I misunderstood what taper means here?
 
Drakkith said:
Because the Sun is not a point source of light but an extended object. Does that answer your question or have I misunderstood what taper means here?
You mean if it were a point source, the shadow would not tapper (thinned) . So would it get thicker?