Question

Shortly after takeoff, an airplane is climbing 250 feet for every 1000 feet it travels. Estimate the airplanes climb angle while this is happening.

Answer 1

Answer: The estimate of the airplane's climb angle while climbing 250 feet for every 1000 feet it travels is approximately 14°

Explanation:

The climb angle of an airplane can be estimated using the tangent of the rise over the run. To do this, you need to know the rise (the vertical distance the airplane is climbing) and the run (the horizontal distance the airplane is traveling).

In this case, the rise is 250 feet and the run is 1000 feet. The tangent of the angle is the rise divided by the run:

tan(angle) = rise / run = 250 / 1000 = 0.25

To find the angle in degrees, you need to take the inverse tangent (arctan) of 0.25:

angle = arctan(0.25) = 14.0°

So, the estimate of the airplane's climb angle while climbing 250 feet for every 1000 feet it travels is approximately 14°.