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Angle of Elevation and Depression
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Angle of Elevation and Depression
The angle of elevation is the angle between the horizontal and the line from the object to the observer's eye.
On the other hand; if the object is below the level of the observer, an angle of depression is the angle between the horizontal and the observer's line of sight.These types of angles, along with concepts from trigonometry can be used to indirectly calculate heights of objects or distances between points. Alternatively, if the heights or distances are known, the angles can be determined as well.

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Example: A tower is 703 meters high. Find the angle of elevation if its top from a point 70 meters away from its foot.
Solution: Let AB br the tower of height 703 meters, and let C be a point at a distance of 70 meters from the foot of the tower.
Let be the angle of elevation of the top of the tower from point C.
In CAB, we have
tan = AB/AC
tan = 703 / 100 = 3
= 60
Hence, the angle of elevation of the top of the tower from a point 70 meters away from its foot is 60
 
   
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