What is the meaning of angle of depression and angle of elevation?
It is the angle measured from the horizontal, depression is downward, elevation is upward.
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The angles of depression and elevation are both terms used in geometry to describe the geometric relationship between an observer, a point of interest, and a horizontal line. Let's break down each term individually:
1. Angle of Depression:
The angle of depression refers to the angle formed between a horizontal line and the line of sight from an observer looking downward to a point of interest below the observer's line of sight. In simpler terms, it is the angle formed when you look down from a point to an object located at a lower level. This angle is always measured below the horizontal line.
To find the angle of depression, you need to follow these steps:
1. Identify the observer's point of view (usually represented as a dot) and the object of interest below it.
2. Draw a horizontal line from the observer's eye level.
3. Draw a line connecting the observer's eye level with the object of interest.
4. Measure the angle formed between the horizontal line and the downward line.
2. Angle of Elevation:
The angle of elevation, on the other hand, refers to the angle formed between a horizontal line and the line of sight from an observer looking upward to a point of interest above the observer's line of sight. In simpler terms, it is the angle formed when you look up from a point to an object located at a higher level. This angle is always measured above the horizontal line.
To find the angle of elevation, you can follow these steps:
1. Identify the observer's point of view (usually represented as a dot) and the object of interest above it.
2. Draw a horizontal line from the observer's eye level.
3. Draw a line connecting the observer's eye level with the object of interest.
4. Measure the angle formed between the horizontal line and the upward line.
Both the angle of depression and the angle of elevation play important roles in various fields like surveying, engineering, physics, and navigation. They help us calculate distances, heights, and angles in real-life scenarios.