Angle of Elevation

Definition of Angle of Elevation

The word "elevation" means "rise" or "move up".

Angle of elevation is the angle between the horizontal and the line of sight to an object above the horizontal.
Take a look at the example below.

Examples of Angle of Elevation

  • IIn the picture below, an observer is standing at the top of a building and looking straight ahead at the birds (horizontal line). The observer must raise his eyes to see the airplane (slanting line).
  • The angle formed between the two lines is called the angle of elevation.
    Examples of Elevation of Angle of Elevation

Video Examples: Angles of Elevation


Solved Example Clockple on Angle of Elevation

Ques: The angle of elevation of the top of a pole measures 48 from a point on the ground 18 ft away from its base. Find the height of the flagpole.

Solution:

    Step 1: Lets first visualize the situation.
    img
    Step 2: Let x be the height of the flagpole.
    img
    Step 4: x = 18 tan 48 = 18 1.11061 = 19.99102 20
    Step 5: So, the flagpole is about 20 ft high.