Math Problem Statement
Standing 500 feet away, you watch a hotair balloon lift off and then rise at a constant rate of 4 ft/s. You continue to watch it as it rises, slowly leaning your head back to keep your gaze fixed on it as it dwindles into a small dot against the blue sky. How fast is your angle of elevation to the balloon changing when the balloon is 50 feet above the ground? How fast is your angle of elevation to the balloon changing when the balloon is 225 feet above the ground?
Solution
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Math Problem Analysis
Mathematical Concepts
Related Rates
Trigonometry
Right Triangle Trigonometry
Formulas
Tangent function
Chain rule
Secant function
Theorems

Suitable Grade Level
Advanced High School
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