The formula to calculate the hill angle (HA) is:
\[ HA = \arctan\left(\frac{H}{HD}\right) \times 57.2958 \]
Where:
Let's say the height of the hill is 10 meters, and the horizontal distance is 20 meters. Using the formula:
\[ HA = \arctan\left(\frac{10}{20}\right) \times 57.2958 \]
We get:
\[ HA = \arctan(0.5) \times 57.2958 \approx 26.57 \]
So, the hill angle (\( HA \)) is approximately 26.57 degrees.
The hill angle is the angle of inclination of a hill, calculated using the height of the hill and the horizontal distance. It is useful in various fields such as engineering, construction, and outdoor activities to understand the steepness of a slope.