In the setting of Exercise 19, let be the angle that the line through the radar
Question:
In the setting of Exercise 19, let θ be the angle that the line through the radar station and the plane makes with the horizontal. How fast is θ changing 12 min after the plane passes over the radar station?
Data From Exercise 19
At a given moment, a plane passes directly above a radar station at an altitude of 6 km.
The plane’s speed is 800 km/h. How fast is the distance between the plane and the station changing half a minute later?
How fast is the distance between the plane and the station changing when the plane passes directly above the station?
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