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January 31, 2015

January 31, 2015

Posted by **Paige** on Tuesday, April 24, 2012 at 11:53pm.

a) How fast is theta decreasing at this instant? express results in units of deg/s

b) How fast is the distance between the aeroplane and the radar station changing at this instant? express the rates in units of ft/s 1 mi = 5280ft

- calculus -
**bobpursley**, Wednesday, April 25, 2012 at 2:24amIf I get the picture accurately

a) height/horizontaldistance away= sinTheta

height= distancaway*sinTheta

take the deriviative

0=d (distance)/dt *sinTheta- distance*cosTheta dTheta/dt

well d (distance)/dt=velocity= 300mi/hr

dTheta/dt= tanTheta*300mi/hr / distance

but distance= height/sin30 then solve for dTheta/dt. Change mi/hr to feet/sec (ie 60mph=88ft/second)

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