Later, as the months wear on, a series of additional messages arrive from Gerry -- always delivered in the most remarkable and surprising of ways. With each new message comes a new adventure, and each letter signs off in the same familiar way: P.S. I love you..
For a person standing at sea level, however, the horizon is only about 3 miles away. Lets do the calculations. The figure below shows an observer whose eyes are a distance E above sea level. A straight line drawn from the observers eyes tangent to the seas surface touches it at the distance d1, which is the distance to the horizon. If R is the radius of the earth, then, to first order in E/R, it is easy to show that.
The Captain of the Leyland liner Californian, now at Boston, admits that his ship was not more than 19 miles from the Titanic on the night of the disaster. From the bridge of the Titanic, about 100 feet above the water, the horizon would be twelve miles away. Allowing 100 feet for the height of the mast lights of the Californian this would extend the view of those on the Titanic's bridge to twenty-four miles.