A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the point of lift-off. At the moment the range finder's elevation angle is 4/π , the angle is increasing at the rate of 0.14 rad/min. How fast is the balloon rising at that moment?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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A hot air balloon rising straight up from a level
field is tracked by a range finder 500 ft from the
point of lift-off. At the moment the range finder's
elevation angle is 4/π , the angle is increasing at
the rate of 0.14 rad/min. How fast is the balloon
rising at that moment? 

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