39. A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach (see the following image). If the lighthouse light rotates clockwise at a constant rate of 10 revolutions/min, how fast does the beam of light move across the beach 2 mi away from the closest point on the beach? 4 mi previous problem, wht moves across t aosest point on th eanghrorner. are20 m -2 mi south Dus travels west at a te of Te rom the intersection-you

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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39. A lighthouse, L, is on an island 4 mi
closest point, P, on the beach (see the following
image). If the lighthouse light rotates clockwise at a
constant rate of 10 revolutions/min, how fast does
the beam of light move across the beach 2 mi away
from the closest point on the beach?
away
from the
4 mi
previous problem,
ht moves
40
Osin
determin
ame
across t
ne closest point
on the
You are wl
You n
aright-anglecorner.
ndare 20 m
-2 mi-
south of
rate of T0
OI he bus travels west at a
away from the intersection-
you
Transcribed Image Text:39. A lighthouse, L, is on an island 4 mi closest point, P, on the beach (see the following image). If the lighthouse light rotates clockwise at a constant rate of 10 revolutions/min, how fast does the beam of light move across the beach 2 mi away from the closest point on the beach? away from the 4 mi previous problem, ht moves 40 Osin determin ame across t ne closest point on the You are wl You n aright-anglecorner. ndare 20 m -2 mi- south of rate of T0 OI he bus travels west at a away from the intersection- you
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