Lighthouse Beam Along Shoreline

A visualization of a classic related rates problem - a beam of light from a lighthouse is traveling along the shoreline. A lighthouse is located on a small island 3 km away from the nearest point on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P?

 

J Mulholland

 
Resource Type
Activity
Tags
calculus  lighthouse  rates  related 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
Views
3717
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