[T] A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by θ = tan − 1 ( x 2000 ) where x is the height of the rocket.Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5000 feet apart.
[T] A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by θ = tan − 1 ( x 2000 ) where x is the height of the rocket.Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5000 feet apart.
[T] A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by
θ
=
tan
−
1
(
x
2000
)
where x is the height of the rocket.Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5000 feet apart.