The angle of elevation of a hot air balloon, climbing vertically, changes from 25° at 10:00am to 60° at 10:02am. The point of observation of the angle of elevation is situated 300 meters away from take-off point. What is the upward speed, assumed constant, of the balloon? h₂ 60° @ 10:02 am 25° @10:00 am 300 meters h₁

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 59E
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The angle of elevation of a hot air balloon, climbing
vertically, changes from 25° at 10:00am to 60° at
10:02am. The point of observation of the angle of
elevation is situated 300 meters away from take-off
point. What is the upward speed, assumed constant,
of the balloon?
h₂
60° @ 10:02 am
25° @ 10:00 am
300 meters
h₁
Transcribed Image Text:The angle of elevation of a hot air balloon, climbing vertically, changes from 25° at 10:00am to 60° at 10:02am. The point of observation of the angle of elevation is situated 300 meters away from take-off point. What is the upward speed, assumed constant, of the balloon? h₂ 60° @ 10:02 am 25° @ 10:00 am 300 meters h₁
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