Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts
08-12-2022, 10:07 PM (This post was last modified: 08-12-2022 10:26 PM by jte.)
Post: #13
 jte Member Posts: 258 Joined: Feb 2014
RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts
(09-02-2019 11:32 PM)jlind Wrote:
From this we can readily deduce:
a = x + 5.
Since the larger and smaller triangles are similar, the ratios of their similar sides are equal:
b/a = 10/x, the most relevant ratio to setting up the equation.
b = 10*a/x
b = 10*(x+5)/x, by substitution
b = 10 + 50/x, simplifying the equation

From the Pythagorean Theorem:
c^2 = a^2 + b^2
c^2 = (x+5)^2 + (10 + 50/x)^2

Nice post!

At the clipped point, once one is down to an equation involving two variables, one could also try using the Advanced Graphing app. Here’s the equation, entered: (with “X” and “Y” used for “x” and “c”)

After going to the Plot view, one can then select PoI / Vertical Extrema from the Trace menu, as shown:

If one has the cursor close to the desired extremum before setting the tracing mode, the cursor should settle on the desired extremum, as shown: (otherwise, one might have to pan / zoom / tap to get the cursor on the desired extremum)

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 Messages In This Thread Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - jlind - 09-02-2019, 11:32 PM Learning How to Use the Prime G2 - Hallway Pole Problem - Part II of III - jlind - 09-02-2019, 11:38 PM Learning How to Use the Prime G2 - Hallway Pole Problem - Part III of III - jlind - 09-02-2019, 11:42 PM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - teerasak - 09-03-2019, 07:23 AM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - JoJo1973 - 09-03-2019, 06:00 PM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - jlind - 09-04-2019, 02:42 AM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - Albert Chan - 09-04-2019, 12:53 AM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - teerasak - 09-04-2019, 04:10 AM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - jlind - 09-04-2019, 09:17 AM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - jlind - 09-12-2019, 04:03 PM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - teerasak - 09-13-2019, 04:16 PM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - Thomas Klemm - 07-12-2022, 12:29 AM RE: Learning How to Use the Prime G2 - Hallway Pole Problem - In Three Parts - jte - 08-12-2022 10:07 PM

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