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Angle of Depression Solver

Angle of Depression Solver

About The Calculator

  • Enter the value for distance and height into the box (numbers only)
  • Hit the equal orange button to generate the worksheet.

Inside the Calculator’s Brain

  • Example: An electricity pylon stands on horizontal ground. At a point 80 m from the base of the pylon, find the angle of depression of the bottom of the pylon if the height of the pylon is 60 meter long.

Angle of depression

  • The distance will be 80, and height =60, only numbers are used by the calculator to compute the angle of depression using the formula below


  • The height is the opposite, and the distance is on the adjacent side.

  • Apply the formula by substituting the value of height and distance for opposite and adjacent sides respectively

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Lesson Note

The angle of depression is an important concept in trigonometry and geometry. It refers to the angle formed between a line of sight from an observer to a point below them and a horizontal line. This angle is typically measured below the horizontal line.

To better understand the concept, let’s explore two worked examples:

Example 1:
Imagine you are standing on top of a tall building and you see a car parked on the street below. You estimate that the car is 100 meters away from the building. If you look straight down to the car, the angle formed between your line of sight and the horizontal line would be the angle of depression.

Let’s say you measure this angle to be 30 degrees. This means that the car is located at a 30-degree angle below the horizontal line. By using trigonometric functions such as tangent, you can calculate the height of the building.

Example 2:
Now let’s consider a different scenario. Suppose you are standing on the edge of a cliff, looking down at a boat floating on the water below. You estimate the boat to be 500 meters away from your position. If you measure the angle between your line of sight and the horizontal line to be 45 degrees, you have determined the angle of depression.

With this information, you can use trigonometry to calculate the vertical distance between the top of the cliff and the boat. By applying trigonometric ratios such as tangent or sine, you can determine the height difference.

The angle of depression provides a way to measure the angle formed between a line of sight from an observer to a point below them and a horizontal line. By utilizing trigonometric functions, this angle allows us to calculate various measurements, such as distances or heights, in real-world scenarios.


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