9th Grade
Grade 9 Mathematics
Fourth Grading Period
Quadratic Functions
OBJECTIVES
GENERAL OBJECTIVE:
The learner demonstrates understanding of the basic concepts
of trigonometry.
SPECIFIC OBJECTIVES:
Recognize which angle represents an angle of depression and
which angle represents an angle of elevation.
Demonstrate or execute the situation that shows an angle of
elevation or depression.
Appreciate the importance of an angle of elevation or
depression as related to the real-world problem solving.
RECALL!!!!!
What is the formula in finding the
Pythagorean Theorem?
What are the different theorem of
right triangle similarity? Give 1.
LOOK UP OR LOOK DOWN
PERFECT ANGLES
DID YOU KNOW THAT?
LINE OF SIGHT
is the line from the eye of the observer to the object
being observed.
ELEVATION
angle of elevation is the acute angle formed between the
horizontal and the observer’s line of sight to an object
located above the horizontal.
DEPRESSION
angle of depression is the acute angle formed
between the horizontal and the line of sight to an
object located below the horizontal.
ELEVATION OR DEPRESSION
Which are angles of elevation
and which are angles of
depression?
EXAMPLES
Example 3
A tree casts a shadow of 14m. Find the
angle of elevation of the sun from the
tip the shadow. Round your answer to
the nearest degree.
Example 3
The angle of depression of a lamp on
top of a post to a point on the ground is
64-degree. How long is the light beam
from the lamp to the same point if the
lamp on top of the post is 17m above
the ground?
EXAMPLES
Example 1
From a point 17m away from a tree, the
angle of elevation to the top of the tree
is 38-degree. How high is the tree?
Example 2
An elevated parking is being
constructed 2m above the level ground.
The angle of elevation from the ground
to the elevated parking floor is found to
be 12-degree. A ramp is to be built on
the side to be used by the cars to go
up. How long should the ramp be?
The _____________ is the line from the eye of the observer to the object
being observed.
The _________ is the acute angle formed between the horizontal and the
observer’s line of the sight to an object located _____________ the
horizontal.
The __________ is the acute angle formed between the horizontal and the
line of the sight to an object located______ the horizontal.
In the following figures, identify the segments that represents the line of sight and identify the angles (if any) that
represents the angle of elevation or angle of depression.
In the following figures, identify the segments that represents the line of sight and identify the angles (if any) that
represents the angle of elevation or angle of depression.
ASSESSMENT
ASSIGNMENT
ASSIGNMENT