A television camera is positioned 4000 ft 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 800 ft/s when it has risen 3000 ft. (Round your answers to three decimal places.)(a) How fast is the distance from the television camera to the rocket changing at that moment? ft/s(b) If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at that same moment? rad/s A television camera is positioned 4000 ft 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 mechanismfor 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 800 ft/s when it has risen 3000 ft. (Roundyour answers to three decimal places.)(a) How fast is the distance from the television camera to the rocket changing at that moment?960X ft/s(b) If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at that same moment?0.096X rad/s

Answered: A television camera is positioned 4000…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.8: Applications And Models

Problem 4ECP: From the time a small airplane is 100 feet high and 1600 ground feet from its landing runway, the...

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A television camera is positioned 4000 ft 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 800 ft/s when it has risen 3000 ft. (Round your answers to three decimal places.)

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

(b) If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at that same moment?
rad/s