A lighthouse stands 375 m off a straight shore and the focused beam of its light revolves two times each minute. As shown in the figure, P is the point on shore closest to the lighthouse and Q is a point on the shore 175 m from P. What is the speed of the beam along the shore when it strikes the point Q? Describe how the speed of the beam along the shore varies with the distance between P and Q. Neglect the height of the lighthouse.
A lighthouse stands 375 m off a straight shore and the focused beam of its light revolves two times each minute. As shown in the figure, P is the point on shore closest to the lighthouse and Q is a point on the shore 175 m from P. What is the speed of the beam along the shore when it strikes the point Q? Describe how the speed of the beam along the shore varies with the distance between P and Q. Neglect the height of the lighthouse.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.10: Inverse Variation
Problem 6P
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Transcribed Image Text:A lighthouse stands 375 m off a straight shore and the focused beam of its
light revolves two times each minute. As shown in the figure, P is the point
on shore closest to the lighthouse and Q is a point on the shore 175 m
from P. What is the speed of the beam along the shore when it strikes the
point Q? Describe how the speed of the beam along the shore varies with
the distance between P and Q. Neglect the height of the lighthouse.
Q
175 m
P
375 m
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