A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off point. At a certain moment the angle 0 between the observer's line of sight and the horizontal is n/4, and it is changing at a rate of 0.125 rad/min. Let h be the height of the balloon at time t. Choose all of the following that are correct.

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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A hot air balloon rising vertically is tracked by an observer located 2 miles from the
lift-off point. At a certain moment the angle e between the observer's line of sight
and the horizontal is 1/4, and it is changing at a rate of 0.125 rad/min. Let h be the
height of the balloon at timet. Choose all of the following that are correct.
dh
а.
2
de
dt
cos?e dt
b. tane = 2h
%3D
c. There is not enough information provided to write down an equation
that relates the variables.
h
d. tane = =
2
е. dh
sec?e de
dt
dt
Transcribed Image Text:A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off point. At a certain moment the angle e between the observer's line of sight and the horizontal is 1/4, and it is changing at a rate of 0.125 rad/min. Let h be the height of the balloon at timet. Choose all of the following that are correct. dh а. 2 de dt cos?e dt b. tane = 2h %3D c. There is not enough information provided to write down an equation that relates the variables. h d. tane = = 2 е. dh sec?e de dt dt
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