# 2000 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 e = tan¯(2000 where a 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 4761 feet apart. radians per foot. Round to five decimal places.

Question

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

### Applications of Derivative

Transcribed Image Text

2000 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 e = tan¯(2000 where a 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 4761 feet apart. radians per foot. Round to five decimal places.