Angle of Depression Formula
As we can see in the following illustration, the horizontal line, line of sight, and the perpendicular drawn from the object to the horizontal line form a right-angled triangle.
From the above triangle POQ we can conclude using the trigonometric ratio:
- sin θ = p / h,
- cos θ = b / h, and
- tan θ = p / b
As θ here is the angle of depression.
So the angle of depression θ is given by:
θ = sin-1(p/h)
θ = cos-1(b/h)
θ = tan-1(p/b)
Angle of Depression
Angle of Depression is one of the two important angles in Trigonometry, the other being the angle of elevation. The angle of depression refers to the angle at which one must look downward from a horizontal position to view an object situated at a lower level. It’s defined by the direct line from the observer to the object being observed, indicating a downward inclination of the line of sight.
In this article, we will learn about the Angle of Depression including various examples of the angle of depression and key differences between the angle of elevation and the angle of depression. We will also learn, how to calculate the angle of depression.
Table of Content
- What is Angle of Depression in Trigonometry?
- Angle of Depression Definition
- Terms Related to Angle of Depression
- Angle of Depression Examples
- Angle of Depression Formula
- How to Find Angle of Depression
- Angle of Depression and Elevation
- Solved Examples of Angle of Depression
- Class 10 Resources on Angle of Depression
- Practice Problems on Angle of Depression
- FAQs on Angle of Depression