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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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?
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?
Expert Solution
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.

dhdt= 5 ft/sec

We use trigonometric values to solve the following problem.

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