Science:Math Exam Resources/Courses/MATH110/April 2016/Question 06 (a)/Statement

A television camera is positioned $1000{\text{m}}$ from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Answer the questions below. Make sure your solution includes a sketch that is labeled with the same variables used in your calculation. Your answer should be a numerical value, but you do not need to simplify it.

Assume the rocket rises vertically and its speed is $500{\text{m}}/{\text{s}}$ when it has risen $2000{\text{m}}$.

(a) How fast is the distance from the television camera to the rocket changing at that moment?