Best view of the Statue of Liberty.
The Statue of Liberty stands 92 meters high, including the pedestal which is 46 meters high. How far from the base should you stand so that your viewing angle, theta, is as large as possible? See the figure below.
The animation supplied here was derived from the accompanying interactive routine for approximating the optimal viewing angle which was developed in Geometer's Sketch Pad. The Geometer's Sketch Pad file was developed by
Maharishi University of Management
1000 North Fourth Street
Fairfield, IA 52557
and is used with her permission. For more details on classroom use of this file see "Dynamic Visualization in Calculus", by Catherine A. Gorini in, (MAA Notes 41) Edited by James R. King and Doris Schattschneider, The Mathematical Association of America, Washington, DC, 1997, pp.89-94.
Special thanks to Nicholas Jackiw for his technical assistance in updating the Geometer's Sketch Pad file and to Mike Simpson of Key Curriculum Press for his support for the Demos with Positive Impact project.