A hot air balloon rising vertically is tracked by an observer located 3 km from the lift‑off point. At a certain moment, the angle between the observer's line of sight and the horizontal is pi/5, and it is changing at a rate of 0.4 rad/min. How fast is the balloon rising at this moment? Let y be the height of the balloon (in km), t be time (in minutes), and theta the angle between the line‑of‑sight and the horizontal (in radians). (Use decimal notation. Give your answer to two decimal places.)
A hot air balloon rising vertically is tracked by an observer located 3 km from the lift‑off point. At a certain moment, the angle between the observer's line of sight and the horizontal is pi/5, and it is changing at a rate of 0.4 rad/min. How fast is the balloon rising at this moment? Let y be the height of the balloon (in km), t be time (in minutes), and theta the angle between the line‑of‑sight and the horizontal (in radians). (Use decimal notation. Give your answer to two decimal places.)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.1: Radian And Degree Measure
Problem 7ECP: The circular blade on a saw has a radius of 4 inches and it rotates at 2400 revolutions per minute....
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A hot air balloon rising vertically is tracked by an observer located 3 km from the lift‑off point. At a certain moment, the angle between the observer's line of sight and the horizontal is pi/5, and it is changing at a rate of 0.4 rad/min. How fast is the balloon rising at this moment?
Let y be the height of the balloon (in km), t
be time (in minutes), and theta the angle between the line‑of‑sight and the horizontal (in radians).
(Use decimal notation. Give your answer to two decimal places.)
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