Angle of Elevation and Depression
Content
Content
- Angle of Elevation
- Angle of Depression
Angle of Elevation
Angle of Elevation
When an object above is looked from below angle of elevation is formed.
Example
Angle of elevation of the top of a tower from a point 25 m from its base is 75°. Find the height of the tower.
Let t be the height of the tower.
Consider the right angled triangle.
Tan 75° = t / 25
t = 25 x Tan 75°
t = 25 x 3.73
t = 93.25 m
Angle of Depression
Angle of Depression
When an object below is looked from above angle of depression is formed.
Example
James is standing on top of a watch tower and observing a boat which is at a distance of 500 m from the base of the tower. The angle of depression is 15°. Find the height of the watch tower.
Let t be the height of the watch tower.
Consider the right angled triangle.
Tan 15° = t / 500
t = 500 x Tan 15°
t = 500 x 0.27
t = 135 m