A lighthouse L is located on a small island 2 km from the nearest point A on a long straight shoreline. If the lighthouse lamp rotates at 3 revolutions per minute, how fast is the illuminated spot P on the shoreline moving along the shoreline when it is 4 km from A? Note: It is essential to convert the rate of change of from revolutions per minute to radians per min, that is, 1 revolution = 2π radians.) 189 km/min 30 km/min None of the choices 24 km/min 151 km/min

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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A lighthouse L is located on a small island 2 km from the nearest point A on a long
straight shoreline. If the lighthouse lamp rotates at 3 revolutions per minute, how
fast is the illuminated spot P on the shoreline moving along the shoreline when it is
4 km from A? Note: It is essential to convert the rate of change of from revolutions
per minute to radians per min, that is, 1 revolution 2π radians.)
=
189 km/min
30 km/min
None of the choices
24 km/min
151 km/min
Transcribed Image Text:A lighthouse L is located on a small island 2 km from the nearest point A on a long straight shoreline. If the lighthouse lamp rotates at 3 revolutions per minute, how fast is the illuminated spot P on the shoreline moving along the shoreline when it is 4 km from A? Note: It is essential to convert the rate of change of from revolutions per minute to radians per min, that is, 1 revolution 2π radians.) = 189 km/min 30 km/min None of the choices 24 km/min 151 km/min
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