Activities; Analyzing The Pole-Corner Problem - Texas Instruments TI-89 Titanium Short User Manual

Activities

Analyzing the Pole-Corner Problem

A ten-foot-wide hallway meets a five-foot-wide hallway in the corner of
a building. Find the maximum length pole that can be moved around the
corner without tilting the pole.
Maximum Length of Pole in Hallway
The maximum length of a pole
the interior corner and opposite sides of the two hallways as shown in
the diagram below.
Use proportional sides and the Pythagorean theorem to find the length
with respect to
minimum value of
w
a
1. Define the expression for side
and store it in
w
Note: When you want to define a function,
use multiple character names as you build
the definition.
2. Define the expression for side
and store it in
w
Activities
. Then find the zeros of the first derivative of
w
is the maximum length of the pole.
c(w)
10
c
b
.
a(w)
b(w).
is the shortest line segment touching
c
a = w+5
b = 10a
w
5
in terms of
a
in terms of
b
3
c
. The
c(w)
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