The angle of elevation of an object as seen by an observer (a) 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 34ยบ. 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.

Angles of Elevation and Depression

Theangle of elevationof an object as seen by an observer (a) 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.View a Video About Angles of Elevation and Depression!

X would represent the

Angle of ElevationExample

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 34ยบ. How far is the object from the base of the cliff?

## Solution:

Letxm 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.