Activity3 Angles of elevation and depression

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Objectives

Understand the angle of elevation and angle of depression and what is the use of them.

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

know about hypotenuse, short leg, long leg,right angle and vertices of right triangle and how to measure side and angle by using ruler and Protractor.

Materials/ Resources needed

Digital : Click here to open the file.

Non-digital : Tape measure.

Process (How to do the activity)


Download this geogebra file from this link.


Procedure:

Activity : Look Up and Look Down

  1. When you see an object above you(Looks up),there is an angle of elevation between the horizontal and your line of sight to the object.
  2. When you see an object below you(Looks down),there is an angle of depression between the horizontal and your line of sight to the object
  3. Identify the segment that represents the line of sight.
  4. Identify the angle that represent the angle of elevation.
  5. Identify the angle that represent the angle of depression.

Evaluation at the end of the activity

1.In the given diagram of a ladder leaning against a wall, which angle represents the ladder’s angle of elevation?

Application level:

In real world situations, we often discuss the angle of elevation and depression. The angle of elevation and depression is used often in word problems.

The opposite side in this case is usually the height of the observer or height in terms of location, for example, the height of the object. The adjacent is usually the horizontal distance between the object and the observer.

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