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Differentiation and Related Rates : Rate of Change in Angle of Elevation of a Balloon

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A balloon rises at a rate of 3 meters per second from a point 30 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observor when the balloon is 30 meters above the ground.

Answer: 1/20 radian per second

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Solution Summary

Rate of Change in Angle of Elevation of a Balloon is investigated.

Solution Preview

Suppose the angle is x. The height of the balloon is h, then we have
tan x=h/30.
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