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
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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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.)
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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