Related rates and implicit differentiation

blade123
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Homework Statement


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?

Homework Equations


a2+b2=c2

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
 
on Phys.org
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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