An observer tall is away from a tower high. Determine the angle of elevation of the top of the tower from the eye of the observer.
Given, the length of the observer is and the height of the tower is .
The observer is away from a tower.
In the figure, let represents the height of the observer, represents the height of the tower and represents the distance of the observer from the tower.
Then
From the figure, and
Let be the angle of elevation of the top of the tower from the eye of the observer.
In ,
()
Since we know that by the trigonometry values,
From equations and , we get;
Therefore the angle of elevation is .