A Hot Air Balloon Is Rising Vertically $\frac { 1 } { 2000 } \mathrm { radian } / \mathrm { s }$

question 127

Short Answer

A hot air balloon is rising vertically. An observer on the ground is 2000 meters from the point where the balloon took off. The angle between the ground and the observer's line of sight increases at a rate of $\frac { 1 } { 2000 } \mathrm { radian } / \mathrm { s }$ when the balloon reaches a height of 3000 meters. How fast is the balloon rising at that moment?

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Definitions:

Closing Stock Price

The last price at which a stock is traded on a particular trading day, representing the final market valuation of the stock for that day.

Mode

The value that appears most frequently in a data set, representing the highest peak in the distribution of frequencies.

Financial Growth Factors

Components that contribute to the increase in value of financial assets or earnings.

Geometric Mean

The nth root of the product of n numbers, used to calculate the average rate of return over time or the mean of ratios.