A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate, in km/min, is the distance from the plane to the radar station increasing 2 minutes later?
Rate = km/min
The vertical coordinate (in km) from the radar station is
Y = 4 + 0.707*24 t
and the horizonal coordinate is
X = 0.707*24 t
where t is in minutes.
The distance between radar station and plane is
R = sqrt (X^2 + Y^2)
take the time derivative to get dR/dt and then plug in t = 2 for the answer.
can you give me some homework about that
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