S 0 Question 8 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.) O24 km/min O None of the choices 30 km/min O 189 km/min O 151 km/min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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Question 8
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.)
O24 km/min
O None of the choices
30 km/min
O 189 km/min
O 151 km/min
Transcribed Image Text:S | Question 8 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.) O24 km/min O None of the choices 30 km/min O 189 km/min O 151 km/min
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