The formula to calculate the elevation gain (EG) is:
\[ EG = \sin(IA) \times D \]
Where:
A treadmill elevation gain is an estimated equivalent gain in elevation that a person would have reached if they were hiking outside instead of on a treadmill. The higher the angle of the treadmill, the higher the elevation gain. This metric uses trigonometry to estimate the vertical elevation gain, where the distance traveled is the hypotenuse and the elevation gain is the height of the triangle.
Let's assume the following values:
Step 1: Calculate the sine of the incline angle:
\[ \sin(10^\circ) \approx 0.1736 \]
Step 2: Multiply by the total distance traveled:
\[ 0.1736 \times 5 \approx 0.87 \]
Therefore, the elevation gain is approximately 0.87 miles.