Dickson Allan
03/07/2023 · Senior High School
A balloon is rising vertically at a rate of 5 feet per second. If the balloon's distance from a person standing on the ground is measured, how fast is the distance between the person and the balloon changing when the balloon is 10 feet high?
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The rate at which the distance between the person and the balloon is changing when the balloon is 10 feet high is \( \frac{50}{\sqrt{100 + x^2}} \) feet per second, where \( x \) is the horizontal distance from the person to the point directly below the balloon.
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