A plane flying at an altitude of 3.0 km is at a direct distance D = √9.0+ x² from an airport control tower, where x is the horizontal distance to the tower. If the plane's speed is 400 km/h, how fast is D changing when x = 6.5 km?

A plane flying at an altitude of 3.0 km is at a direct distance D = √9.0+ x² from an airport control tower, where x is the horizontal distance to the tower. If the plane's speed is 400 km/h, how fast is D changing when x = 6.5 km?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

Ll.165.

A plane flying at an altitude of 3.0 km is at a direct distance D= = √9.0+x² from an airport control tower, where x is the
horizontal distance to the tower. If the plane's speed is 400 km/h, how fast is D changing when x = 6.5 km?
D is changing at a rate of
km/h.
(Do not round until the final answer. Then round to the nearest ten as needed.)

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