Activities; Analyzing The Pole-Corner Problem; Maximum Length Of Pole In Hallway - Texas Instruments Voyage 200 User Manual

Activities

Activities Activities Activities

Analyzing the Pole-Corner Problem

Analyzing the Pole-Corner Problem
Analyzing the Pole-Corner Problem 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

Maximum Length of Pole in Hallway Maximum Length of Pole in Hallway Maximum Length of Pole in Hallway
The maximum length of a pole
and opposite sides of the two hallways as shown in the diagram below.
Use proportional sides and the Pythagorean theorem to find the length
. Then find the zeros of the first derivative of
w
maximum length of the pole.
Activities
is the shortest line segment touching the interior corner
c
c(w)
. The minimum value of
with respect to
c
is the
c(w)
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