Angle Of Elevation And Depression

 

The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight).


 

If the object is below the level of the observer, then the angle between the horizontal and the observer's line of sight is called the angle of depression.


Example:

From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 34º.  How far is the object from the base of the cliff?

Solution:

Let x m be the distance of the object from the base of the cliff.



So, the object is 59.30 m from the base of the cliff.