Textbook ExpertVerified Tutor
26 Oct 2021
Given information
A television camera is positioned 
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. Let’s assume the rocket rises vertically and its speed is 
when it has risen 
.
Step-by-step explanation
Step 1.
Below picture show the graphical representation of the problem.
When 
,
Now we need to find 
, the rate of change of the angle of the camera.
We can use the tangent relation to make an equation. Differentiate with respect to time 
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 11c
- Problem 11d
- Problem 11e
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 12d
- Problem 12e
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 13d
- Problem 13e
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 14d
- Problem 14e
- Problem 15
- Problem 16
- Problem 17
- Problem 18a
- Problem 18b
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 107aiii
- Problem 107b