A motion detector can detect motion up to 25 m away through an angle of 75 degrees.  A. What area can the motion dectector monitor?  B. For r=25 m what angle is required to monitor 50% more area? C. for 75 degrees what range is required for the detector to monitor 50% more area?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 30E
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A motion detector can detect motion up to 25 m away through an angle of 75 degrees. 

A. What area can the motion dectector monitor? 

B. For r=25 m what angle is required to monitor 50% more area?

C. for 75 degrees what range is required for the detector to monitor 50% more area?

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