But I applied a visit visa application when I was in the US working. Below are the documents I submitted.

1. Supporting Letter(If you got family or friends there)
2. 6 Months Wage slips
3. Certificate of Employment
4. Employment Contract
5. 6 months Bank Statements
6. Photocopy/scanned copy of US visa (Egypt visa in your case)
7. Photocopy/scanned of passport information page.
8. Printed application form.

All the needed documents is actually in UKBA website.

Good Luck
7.