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November 29, 2014

November 29, 2014

Posted by **anna** on Wednesday, November 17, 2010 at 7:35pm.

- math cal -
**Reiny**, Wednesday, November 17, 2010 at 8:56pmDid you make a sketch and got a right-angled triangle?

let the horizontal distance between the plane and the station be x miles

let the distance between the plane and the station be y miles

given: dx/dt = 480 mph

find: dy/dt when y = 6

y^2 = x^2 + 3^2

when y = 6

36 = x^2 + 9

x = √27

2y dy/dt = 2x dx/dt

dy/dt = (x/y)dx/dt

= √27(480)/6

= 415.7 mph or 416 mph

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