A sledding run is 280 yards long with a vertical drop of 18.5 yards. What is the angle of depression of the run?
To find the angle of depression, we'll use the tangent function, which is defined as the ratio of the vertical drop to the horizontal distance or run. In this case, the vertical drop is 18.5 yards and the horizontal distance is 280 yards, so the tangent of the angle of depression is 18.5/280.
tan(angle) = 18.5/280
Now, use the arctangent function to find the angle:
angle = arctan(18.5/280)
angle ≈ 3.80 degrees
So, the angle of depression of the run is approximately 3.80 degrees.