Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
1
August 28, 2013
Use Trigonometry with Right Triangles
9.1 Use Trigonometry with Right Triangles
• sine
• cosine
• tangent
• secant
• cosecant
• cotangent
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
θ4
12
Use Trigonometry with Right Triangles
θ
5
3
4
Use Trigonometry with Right Triangles
θ
5
3
4
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
2
August 28, 2013
Use Trigonometry with Right Triangles
You need to put gold paint on the ornament on the top of a flag pole. The flagpole casts a shadow that is 30 feet long. The sun has an angle of elevation that is 50o. How tall is the flagpole?
Use Trigonometry with Right Triangles
What trig function should you use?
Pull
Pull First you must determine
which side length you want to find!
We want to find the length of the opposite side.
Use Trigonometry with Right Triangles
OR
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
An airplane pilot sees two towns ahead in the diagram on the next page. The angle of depression of the closer town is 25o and the angle of depression of the farther town is 15 o. His altitude is 5 miles. What is the distance between the towns?
Use Trigonometry with Right Triangles
5 mi.
25o15o
A Z
?
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
3
August 28, 2013
Use Trigonometry with Right Triangles
5 mi.25o
A Z
?
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
5 mi.25o
A Z
Use Trigonometry with Right Triangles
5 mi.
15o
ZA
?
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
5 mi.
15o
ZA
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
4
August 28, 2013
Use Trigonometry with Right Triangles
5 mi.
25o15o
ZA
Use Trigonometry with Right Triangles
Review
45o
x y Find the length of sides x and y.
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
Review
45o
x
Use Trigonometry with Right Triangles
Review
45o
Since this is an isosceles triangle:
Use Trigonometry with Right Triangles
9.1 Use Trigonometry with Right Triangles
• sine
• cosine
• tangent
• secant
• cosecant
• cotangent
