Download Example 1 - Cobb Learning

CCGPS Analytic Geometry Unit 2
Right Triangle Trigonometry
References
Textbook Connection:
Holt McDougal Analytic
Geometry Unit 2

Lesson on sines:
http://brightstor
m.com/math/ge
ometry/basictrigonometry/tri
gonometricratios-sine/

Lesson on
cosines:
http://brightstor
m.com/math/ge
ometry/basictrigonometry/tri
gonometricratios-cosine/
Lesson on Right
Triangle
Trigonometry:
http://www.khana
cademy.org/video
/basictrigonometry?play
list=Trigonometry
Example 1
A
In this unit, students will explore and understand relationships that exist between side and
angles of right triangle involving trigonometric functions. If you need more practice go online
textbook at MY.HRW.COM. Students were given username and password. If you forgot your
password see me
Concepts Students will Use & Understand
Helpful Links:

Students

Understand through similarity, side ratios are properties of the angles of a right
triangle, leading to the definitions of trigonometric ratios for acute angles.

sin  

Explain and use the relationship between the sine and cosine of complementary
angles.
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in
applied problems.

length of opposite side
length of adjacent side
cos  
length of hypotenuse
length of hypotenuse
length of opposite side
tan  
length of adjacent side
Vocabulary
Adjacent Side
Cosine
Complementary Angles
Opposite Side
Tangent
Angle of Depression
Sine
Ratio
Angle of Elevation
Try: http://www.amathsdictionaryforkids.com/dictionary.html for definitions and
animated explanations.
B
Sin(A) =
Sin(B) =
Cos(A) =
Cos(B) =
Tan(A) =
Tan(B) =
Example 2
Ricardo is standing 75 feet away from the base of a building. The angle of elevation from the ground where
Ricardo is standing to the top of the building is 32  . What is the height of the building, to the nearest tenth
of a foot?
Example 3
An airplane is at an altitude of 5,900 feet. The airplane descends at an angle of 3  . About how far will the airplane
travel in the air before it reaches the ground?
Example 4
Answer Key
Example 1:
4
sin A:
 0.8
5
sin B:
3
 0.6
5
Example 3: x = 113,000 ft
cos A:
3
 0.6
5
tan A =
4
 1.3
3
cos B:
4
 0.8
5
tan B =
3
 0.75
4
Example 2: x = 46.9 ft
Example 4: A