The Three Stooges and Your Trigonometry Class
Robert Davidson and Bob Gardner Department of Mathematics and Statistics East Tennessee State University
Spring 2012
The Three Stooges
The Three Stooges
From: http://www.threestooges.net/
Moe Howard
(June 19, 1897 – May 4, 1975)
From: http://www.threestooges.net/
Larry Fine
(October 5, 1902 – January 24, 1975)
Curly Howard
(October 22, 1903 – January 18, 1952)
Curly from: http://www.stoogeworld.com/_Biographies/Curly.htm
Hold That Lion from: http://www.threestooges.com/news/article.asp?intNewsID=85
Do You Know the Three Stooges?
Source: http://www.zogby.com/Soundbites/ReadClips.dbm?ID=13498
Zogby International conducted a poll of 1,213 American adults by telephone in July 2006.
One question asked for the names of the Three Stooges and another asked for the names of the three branches of government.
Those able to name the Three Stooges: 73%
Those able to name the three branches of government: 42%
20th Century Fox will release The Three Stooges movie on April 13, 2012.
A Bird in the Head
The 89th Columbia Pictures Three Stooges film; this was released in 1946. This short is classic Stooges and has the boys wall-papering a room. We watch from the beginning to 1:08 and 2:36 to 5:51 (4:23 total).
Now for Some Trigonometry
We want to find the length of the board which hit Moe in the head. We’ll then use this length and some other information to calculate an angle and some trig functions.
a
b
c
Rotate the Triangle Around
The length of the board is the length of side c, so the question has become “What is c?”
“…like Moe, Larry was only five-feet-four-inches tall.” (page 10)
Stooges Among Us
edited by Lon & Debra Davis
BearManor Media (2008)
a = 5’4’’
b
c
You Know the Length of One Side of the Triangle
With a scaling factor you can find the lengths of the other sides.
Suppose the board hits Moe on the head at a point 6 inches from the end of the board.
A Schematic
What is the angle, θ, the board makes when it hits Moe in the head?
θ
What are the six trig functions of θ?
From: http://www.collider.com/dvd/reviews/article.asp/aid/5899/tcid/3
Now, you will use this information to fill out a study sheet and determine some of the parameters mentioned above.
So You Think This Is Too Easy?
From the short Violent is the Word for Curly. Source: http://www.threestooges.net/episode.php?id=33
The Pendulum Equation relates the length of the board L, the gravitational constant g, and angle θ. It is a nonlinear differential equation and hence cannot be solved by conventional methods.
Any Questions Before You Start?
From: http://www.lunkhead.net/