Angle of Depression

2. Angle of Depression

3. At the end of the lesson, the learners should be able to do the
following:
1. identifies the line of sight, angle of
depression in the figure; and
2. illustrates angle of depression

4. ACTIVITY:
“Look Down”

5. INSTRUCTION:
STEP 1.
Think of a scenario where you had to look
down on an object. For example, you could
draw a scenario where you are looking down at
a building or a tree from a high vantage point.

6. INSTRUCTION:
STEP 2.
Once you have your scenario in mind, use
your pencil and ruler to draw a line connecting
the eye of the observer to the object.

7. INSTRUCTION:
STEP 3.
Next, draw a vertical line upward from
the object. This line should be perpendicular to
the ground and should represent the object's
height.

8. INSTRUCTION:
STEP 4.
Finally, draw a horizontal line from
the eye of the observer intersecting the
vertical line from the object. This line
should be parallel to the ground and should
represent the distance between the
observer and the object.

9. INSTRUCTION:
STEP 5.
Label the different lines and angles on
your drawing.

10. UNLOCKING OF TERMS

11. • Horizontal line:
• A straight line that is parallel to the ground.

12. • Line of sight:
• The straight line that connects the
observer's eye to the object being
observed.

13. Is the angle between a horizontal line and the
line of sight from an observer to an object
below the observer's level.
Angle of Depression

14. • Height:
• The vertical distance between the object
being observed and the horizontal line.

15. • Right triangle:
• A triangle that has one angle measuring
90 degrees.

16. WALL
HORIZONTAL LINE
OBJECT
Eye of
the
observer
HEIGHT
ILLUSTRATION
GROUND

17. • Example 1: Illustrate the Given Problem.
• Directions: From an airplane at an altitude of 1,500m the angle of
depression to a rock on the ground measures 60°.
1,
500m
60°
1,
500m

18. • WHAT IS THE APPLICATION OF ANGLE
OF DEPRESSION IN OUR REAL LIFE?
• The angle of depression is a mathematical concept
that has many practical applications in various fields,
including:

19. • Surveyors use the angle of depression to measure the
height of a structure or the depth of a body of water. This
information is important for construction projects, flood
mapping, and land-use planning.
SURVEYING:

20. • Pilots and navigators use the angle of depression
to calculate their altitude and distance from the
ground or water, which is essential for safe flight
and navigation.
NAVIGATION

21. • Architects and engineers use the angle of
depression to calculate the height of buildings
and structures. This information is important for
design, construction, and safety planning.
ARCHITECTURE AND ENGINEERING

22. • Directions:
• Recall the times when you were visiting a beautiful
place. Where there are instances wherein you were able
to create angle of depression. Share through an
illustration and by telling something about the place.
Make sure to label the angle of depression, line of sight,
and the horizontal line. Write your Illustration and
though in a 1 whole sheet of paper.
EVALUATION:

23. RUBRIC
Criteria 5 pts. 3 pts. 1 pts.
Content Exceed what were
expected
Completed
what were
Expected
Lacking one or
more of what
were expected
Artistry Exceptional Well done Simple
Cleanliness
and
Neatness.
Exceptionally
neat and clean
Shows
cleanliness
and neatness
More messy
than neat or
Clean.
Total

24. • V. ASSIGNMENT:
• Directions:Advance study on the lesson “Solving
Problems Involving Angle of Depression.

25.    THE END   