gas station stands at the intersection of a north-south and east-west road. A police car is traveling toward the gas station from the east, chasing a stolen truck which is traveling north away from the gas station. The police car is traveling at 100 mph and the truck is traveling at 70 mph. a.) is the distance between the police car and truck increasing or decreseing? b.) when the truck is 4 miles from the ggas station and the police car is 3 miles from the gas station, how fast is the distance between the police car and the truck changing? c.) At the same instant, how fast is the angle changing which has the police car as its vertex?
gas station stands at the intersection of a north-south and east-west road. A police car is traveling toward the gas station from the east, chasing a stolen truck which is traveling north away from the gas station. The police car is traveling at 100 mph and the truck is traveling at 70 mph. a.) is the distance between the police car and truck increasing or decreseing? b.) when the truck is 4 miles from the ggas station and the police car is 3 miles from the gas station, how fast is the distance between the police car and the truck changing? c.) At the same instant, how fast is the angle changing which has the police car as its vertex?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 41CR
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Question
A gas station stands at the intersection of a north-south and east-west road. A police car is
traveling toward the gas station from the east, chasing a stolen truck which is traveling north
away from the gas station. The police car is traveling at 100 mph and the truck is traveling
at 70 mph.
a.) is the distance between the police car and truck increasing or decreseing?
b.) when the truck is 4 miles from the ggas station and the police car is 3 miles from the gas station, how fast is the distance between the police car and the truck changing?
c.) At the same instant, how fast is the angle changing which has the police car as its vertex?
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