Question
Asked Oct 16, 2019
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A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the ground 300 ft.
horizontally from the point where the balloon was released. At what rate is the distance between the
observer and the balloon changing when the balloon is 400 ft high?
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A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the ground 300 ft. horizontally from the point where the balloon was released. At what rate is the distance between the observer and the balloon changing when the balloon is 400 ft high?

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Expert Answer

Step 1

Given:

A weather balloon is rising vertically at the rate of 10 ft/s. An observer is standing on the ground 300 ft horizontally from the point where the balloon was released. At what rate is the distance between the observer and the balloon changing when the balloon is 400 ft high?

Step 2

From the given information,

Let,

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Height of the balloon y h distance between observer and balloon dy 10 ft/sec dt To find: dh when y400 ft dt

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Step 3

The given information can be seen...

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dh dt dy10 ft/ sec. dt x-300 ft В y=400 ft

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Tagged in

Math

Calculus

Derivative