Texas Instruments TI-89 사용자 설명서

Activities

741

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

is the shortest line segment touching 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

. Then find the zeros of the first derivative of

c(w)

. The minimum value of

c(w)

is the

maximum length of the pole.