The formula to calculate the Angle of Elevation (θ) is:
\[ \theta = \arctan\left(\frac{H}{D}\right) \]
Where:
Note: The result of the arctangent function is in radians and should be converted to degrees.
The angle of elevation is the angle between the horizontal line from the observer to the object and the line of sight from the observer to the object. It is used in various fields such as surveying, navigation, and even photography to determine the position of an object in relation to the observer's point of view.
Let's assume the following values:
Using the formula to calculate the Angle of Elevation:
\[ \theta = \arctan\left(\frac{10}{30}\right) \approx \arctan(0.3333) \approx 18.43 \text{ degrees} \]
The Angle of Elevation is approximately 18.43 degrees.