Solve related rates rising hot air balloon

The video tutorial explains a problem involving a balloon rising from the ground. It covers the initial conditions, such as the angle of elevation and the rate of change in radians per minute. The instructor sets up a relationship using the tangent function and derives an equation to find the rate at which the balloon is rising. The tutorial emphasizes the importance of plugging in known values before taking derivatives to simplify calculations.

What is the significance of using radians instead of degrees in this problem?

What is the importance of plugging in known values before taking the derivative?

Describe the process of rationalizing the denominator in the context of this problem.

What is the final calculated rate at which the balloon is rising?