Kitty Hawk
The Outer
Banks
is a sand bar extending for hundreds of miles along the east coast of the
United States, mostly along the coast of North Carolina. The sand bar is
broken by narrow inlets that connect the Atlantic Ocean on the east to the
shallow salt water sounds on the west. The result is a chain of long, thin
islands, in many places only a few hundred yards wide and a few feet above sea
level.
The Outer Banks were the site of Sir Walter Raleigh's Lost Colony in 1585 and
the Wright Brothers' first powered flight in 1903. It is also known for surf
fishing, hazardous navigation, and impressive riptides.
The Wright Brothers' flight was made from the highest natural point along the
Outer Banks at Kitty Hawk. Kitty Hawk is a broad sand dune that peaks at 38
feet above Albemarle Sound, which lies due west. In the lesson, we will study
the following problem, which involves determining how far out in Albemarle
Sound one can see from the summit of Kitty Hawk:
You are sitting on top of Kitty Hawk on a calm day with no waves. You are
watching a friend swimming across the sound toward the mainland. Because of
the curvature of the earth, your friend will eventually disappear across the
horizon. How far away (in feet) can your friend get before he disappears from
view?
As we pursue this problem, we will:
- Gain more experience with the application of the five-step approach to
solving computational problems that we introduced in the last lesson.
- Learn more about estimating the number of significant digits in an
answer.
- Study characteristics of the floating-point numbers provided by
Maple, other programming languages, and pocket calculators.
Recall that the five steps of our approach to solving computational problems
are problem, model, method, implementation, and assessment. We have already
stated the problem, and in succeeding sections we will complete the remaining
steps.
Joseph L. Zachary
Hamlet Project
Department of Computer Science
University of Utah