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Activity: The Art Gallery Problem
Go to: http://education.ti.com/.../Activity.do (opens a new window)
Description: The question of where patrons should stand to enjoy the best view of a painting is one that art gallery curators must consider on a regular basis. For this activity, we will consider a painting that is 2 meters in height that is placed 1 meter above the average personís eye level. At what distance from the wall should the average person stand in order to get the best view?

Concepts:

  • Algebraic and geometric modeling
  • Data representation and interpretation
  • Angle measurement and inverse trigonometric functions
  • Optimization using numeric, functional, and differential calculus based approaches
Technology Type: TI-Nspire 
Author: Texas Instruments
Language: English 
Cost: Does not require payment for use

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Courses: Geometry Angles, Trigonometry, Modeling and applications
Trigonometry sin, cos and tan, Applications, Of Acute Angles, Graphs of Functions, Applications, Finding Angles
Calculus Optimization and extrema