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?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 10.83TI: An arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula...
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb73f906-8346-483b-a8e2-08c84a40ad98%2F588c33f3-e365-44e3-a6d8-725102b40968%2Foryeeme_processed.jpeg&w=3840&q=75)
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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