Transcript Lean, Pisa, Lean . . .

Lean, Pisa, Lean . . .
How far can it go, before it’s
GONE?
This is your WebQuest:
 Your job is to determine the actual angle
that the Leaning Tower of Pisa is leaning
at. You will be researching this significant
architectural marvel on the internet, and . .
 . . . using your knowledge of right triangles
to determine its current angle, and through
your research, you will determine how
much more it can lean before it is FINITO!
 SOL target
 Author Information
Menu of Options:
 Right Triangles Defined
 Pythagoras Was a Guy . . . .
 How Much More?
Right Triangles
 Remember, the properties of a right
triangle: A right triangle has one angle
that measures 90 degrees.
Click triangle to go to next slide
 The longest side is opposite this angle,
and is called the hypotenuse
Click picture to go to next slide
 But, the tower isn’t at a right angle, so now
what? Official Pisa website
 Back to menu
Pythagoras was a guy:
 Well, he’s pretty famous for discovering
the famous and VERY USEFUL formula:
Click triangle to go to next slide
 A squared plus B squared equals C
squared!
Click to go to the next slide
 He’s an interesting guy. See for yourself
About Pythagoras
Click on Pythagoras to go back to the menu
 What is the current angle of the Tower? A
look at the following website, will help you
with that:
Pisa information
Click triangle to go to next slide
 With the information on the Tower, draw a
triangle to represent the tower as it is
today.
Click on picture to go to next slide
 Using the information we have, how much
more can the Tower lean? more Tower
info
 Your final project is:
Click the sun to go to next slide
Final project:
Construct your own Tower, and lean it
enough to make it fall. What is this angle?
Click the sun for references
List of references:
 Many thanks to the following websites:
 http://torre.duomo.pisa.it/towersgallery/index_eng.html (the OFFICIAL
Tower website)
 http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html
(about Pythagoras, courtesy of St. Andrews College, Scotland)
 http://www.pbs.org/wgbh/nova/pisa/ this website is courtesy of NOVA.
Fantastico!
 http://www.pisaonline.it/pisa/town/pagine/torre2.htm This will help you with
the angles
Click to finish
Click to start again!
Objectives of this presentation:
 This presentation is designed to address
the Virginia SOL G.7: The student will
solve practical problems involving right
triangles by using the Pythagorean
Theorem, properties of special right
triangles, and right triangle trigonometry.
Solutions will be expressed in radical form
or as decimal approximations. back to
description
Author Information:
 Mrs. Landefeld is a first-time teacher of
geometry, and has yet to be scared off!!
 Her objective with this presentation is to
give her students a fun, interesting project.
Che buono! back to description
THE END!