A hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5' woman tracks the path of the balloon. When her sightline with the balloon makes a 45° angle with the horizontal, she notes the angle is increasing at about 5°/min. (a) What is the elevation of the balloon? (b) How fast is it rising?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
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A hot air balloon lifts off from ground rising vertically. From
100 feet away, a 5' woman tracks the path of the balloon.
When her sightline with the balloon makes a 45° angle with
the horizontal, she notes the angle is increasing at about
5°/min.
(a) What is the elevation of the balloon?
(b) How fast is it rising?
Transcribed Image Text:A hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5' woman tracks the path of the balloon. When her sightline with the balloon makes a 45° angle with the horizontal, she notes the angle is increasing at about 5°/min. (a) What is the elevation of the balloon? (b) How fast is it rising?
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