Not drawn to scale 77. Angular Rate of Change An observer is standing 300 feet from the point at which a balloon is released. The balloon rises at a rate of 5 feet per second. How fast is the angle of elevation of the observer's line of sight increasing when the balloon is 100 feet high?
Not drawn to scale 77. Angular Rate of Change An observer is standing 300 feet from the point at which a balloon is released. The balloon rises at a rate of 5 feet per second. How fast is the angle of elevation of the observer's line of sight increasing when the balloon is 100 feet high?
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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Number 77 is in the photo

Transcribed Image Text:Not drawn to scale
77. Angular Rate of Change An observer is standing 300 feet
from the point at which a balloon is released. The balloon rises
at a rate of 5 feet per second. How fast is the angle of elevation
of the observer's line of sight increasing when the balloon is
100 feet high?
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Step 1
Given, an observer is standing 300 feet from the point at which a balloon is released.
Let x = 300 feet and h = height.
The balloon rises at a rate of 5 feet per second.
We use trigonometric values to solve the following problem.
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