Show that the shortest length of the rope occurs when theta1 = theta2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 64E
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Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R on the ground between the poles and the to the top of the second pole. Show that the shortest length of the rope occurs when theta1 = theta2.

P\                                                /S

|               \                  /                 |

Q           theta1 R theta 2               T

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