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Related rates and implicit differentiation

  1. Jul 10, 2011 #1
    1. The problem statement, all variables and given/known data
    A plane flying with a constant speed of 300 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30 degrees. At what rate is the distance from the plane to the radar station increasing a minute later?

    2. Relevant equations
    a2+b2=c2


    3. The attempt at a solution
    I got to (y+1)2+x2=d22

    It's that extra kilometer that's bothering me. It gives the answer as approx 296 km/h

    d1 is the distance between the starting and current point (5 km) and d1' is 300 km/h

    I don't know how to get from d1 to d2
     
  2. jcsd
  3. Jul 10, 2011 #2
    Of course, right as I post it I figure it out.

    x2+y2=d12

    Sub in, differentiate, solve.


    I'm going to leave it up, just for anyone who wants to check it out. Silly me...
     
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