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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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.)
Transcribed Image Text: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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