A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile travels past the farmhouse at a speed of v = 81 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.5 km past the intersection of the highway and the road? Let I denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the highway and the road. a v km/h Automobile (Use decimal notation. Give your answer to three decimal places.) speed of I at given s-value: 74.449 km/h

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away.
An automobile travels past the farmhouse at a speed of v =
81 km/h. How fast is the distance between the automobile and
the farmhouse increasing when the automobile is 3.5 km past the intersection of the highway and the road?
Let I denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of
the highway and the road.
a
v km/h
Automobile
(Use decimal notation. Give your answer to three decimal places.)
speed of I at given s-value:
74.449
km/h
Transcribed Image Text:A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile travels past the farmhouse at a speed of v = 81 km/h. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 3.5 km past the intersection of the highway and the road? Let I denote the distance between the automobile and the farmhouse, and let s denote the distance past the intersection of the highway and the road. a v km/h Automobile (Use decimal notation. Give your answer to three decimal places.) speed of I at given s-value: 74.449 km/h
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