A rocket stands on a flat and level launch pad. Two thousand meters from the rocket a tracking camera also stands on the launch pad. The rocket rises vertically upward at the rate of 75 meters per second. When the rocket is 600 meters in the air, at what rate must the camera angle change to keep the rocket in view? You may approximate this answer. Make your decimal approximation accurate to the thirddecimal place.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem #4
A rocket stands on a flat and level launch pad.
Two thousand meters from the rocket a tracking camera also stands on the launch pad.
The rocket rises vertically upward at the rate of 75 meters per second.
When the rocket is 600 meters in the air, at what rate must the camera angle change to keep the
rocket in view?
You may approximate this answer. Make your decimal approximation accurate to the thirddecimal
place.
Transcribed Image Text:Problem #4 A rocket stands on a flat and level launch pad. Two thousand meters from the rocket a tracking camera also stands on the launch pad. The rocket rises vertically upward at the rate of 75 meters per second. When the rocket is 600 meters in the air, at what rate must the camera angle change to keep the rocket in view? You may approximate this answer. Make your decimal approximation accurate to the thirddecimal place.
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