A lighthouse is 53 meters tall and stands 120 meters away from the base of a cliff. A man standing on the cliff looks down 48° to see the top of the lighthouse. How tall is the cliff the man is standing on? 48° Note: The image to the right is not drawn to scale. 53m 120m

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.7: Solve Proportion And Similar Figure Applications
Problem 8.160TI: A pine tree casts a shadow of 80 feet next to a 30-foot tall building which casts a 40 feet shadow....
Question
A lighthouse is 53 meters tall and
stands 120 meters away from the
base of a cliff. A man standing on
the cliff looks down 48° to see the
top of the lighthouse.
How tall is the cliff the man is
standing on?
48°
Note: The image to the right is not
drawn to scale.
53m
120m
Transcribed Image Text:A lighthouse is 53 meters tall and stands 120 meters away from the base of a cliff. A man standing on the cliff looks down 48° to see the top of the lighthouse. How tall is the cliff the man is standing on? 48° Note: The image to the right is not drawn to scale. 53m 120m
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