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Name Date Class LESSON84Reteach Angles of Elevation and Depression angle of depression is formed by a horizontal line and a line of sight below it. An angle of elevation is formed by a horizontal
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How to fill out an angle of depression
How to fill out an angle of depression
01
To fill out an angle of depression, follow these steps:
02
Determine the position of the observer or the point of reference.
03
Identify the object or point that is being observed or measured.
04
Measure the vertical distance between the observer or point of reference and the object or point of observation.
05
Measure the horizontal distance between the observer or point of reference and the object or point of observation.
06
Use the tangent function to calculate the angle of depression by dividing the vertical distance by the horizontal distance.
07
Express the angle as a degree measure.
08
Example: If the vertical distance is 30 meters and the horizontal distance is 60 meters, the angle of depression would be equal to the arctan(30/60) = 30 degrees.
Who needs an angle of depression?
01
Angles of depression are commonly used in various fields such as:
02
- Surveying and mapping to determine the elevation or height of an object or point relative to the observer.
03
- Architecture and engineering to calculate the slope or inclination of a roof, ramp, or staircase.
04
- Physics and astronomy to measure the angle of descent or inclination of celestial objects.
05
- Navigation and aviation to determine the angle between the line of sight and the horizontal plane.
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- Military and artillery to calculate the trajectory and firing angles.
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What is an angle of depression?
An angle of depression is the angle between a horizontal line and the line of sight to an object below the observer.
Who is required to file an angle of depression?
Typically, surveyors or engineers are required to calculate and report angles of depression.
How to fill out an angle of depression?
To fill out an angle of depression, you need to measure the horizontal distance and vertical distance from the observer to the object.
What is the purpose of an angle of depression?
The purpose of an angle of depression is to calculate the height or depth of an object below the observer.
What information must be reported on an angle of depression?
The information reported on an angle of depression includes the angle measurement, horizontal distance, vertical distance, and the object being observed.
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