How to measure the Earth's radius using a watch, tape measure, and trigonometry:
It is possible to easily see the effects of the Earth's curvature by simply observing the Sun set while you lie on the ground, and afterwards see the sun set again approximately 10 seconds later if you stand up.
In fact, while watching the "double" sunset, anyone can measure the Earth's size with a Meter Stick and a Watch within a matter of a few seconds. For example: suppose while lying on a beach watching the Sun set over a calm ocean, you start a stopwatch just as the top of the Sun disappears. You then stand, elevating your eyes by a height H=1.70 m, and stop the watch when the top of the Sun again disappears. If the elapsed time is t=11.1 s, what is the radius r of Earth?
Knowing nothing more than the height of the eye while lying and standing, and their corresponding "double sunset" elapsed time measurement, knowing the Earth rotates a complete 360 degrees in 24 hours, the Pythagorus right triangle equation, and basic trigonometry, it is possible to fairly accurately calculate the Earth's radius.
If a person wants, a solution to this problem can be found in a book called Fundamentals of Physics by Halliday, Resnick, Walker on page 7 which can be viewed at Amazon's website:
http://www.amazon.com/Fundamentals-Physics-Chapters-David-Halliday/dp/0471332356/ref=sr_1_23? s=books&ie=UTF8&qid=1361960056&sr=1-23&keywords=halliday+physics
NOTE: to view page 7 of the book on Amazon's website, I had to first log in, click on the book's "Look Inside" icon, then do a search for the terms "Sun set", and click on the first two search results.
NOTE: I don’t live next to a wide level body of water (i.e. wide level surface), and therefore haven’t taken the above measurements, nor given it much more thought; however I suspect the time difference measurements between Sun sets observed at different heights may vary depending where on Earth, and what time of year the measurements were taken.