Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles
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
12 θ
4
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
5
5
4
4 θ
θ
3
3
1
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles
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?
What trig function should you use? 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
Use Trigonometry with Right Triangles
OR
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 15o
25o
5 mi. A
Z
?
2
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles
August 28, 2013
Use Trigonometry with Right Triangles
25o
5 mi.
A
Z
?
Use Trigonometry with Right Triangles 5 mi.
Use Trigonometry with Right Triangles 15o
25o 5 mi.
A
Z
A
Z
?
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles 15o
5 mi. A
Z
3
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles 15o
Use Trigonometry with Right Triangles
Review
25o
y
x
5 mi.
A
August 28, 2013
Z
Use Trigonometry with Right Triangles
45o
Find the length of sides x and y.
Use Trigonometry with Right Triangles
Review
x 45o
Use Trigonometry with Right Triangles Review Since this is an isosceles triangle:
45o
Use Trigonometry with Right Triangles 9.1 Use Trigonometry with Right Triangles •
sine
•
cosine
•
tangent
•
secant
•
cosecant
•
cotangent
4
Use Trigonometry with Right Triangles
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
12 θ
4
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles
5
5
4
4 θ
θ
3
3
1
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles
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?
What trig function should you use? 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
Use Trigonometry with Right Triangles
OR
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 15o
25o
5 mi. A
Z
?
2
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles
August 28, 2013
Use Trigonometry with Right Triangles
25o
5 mi.
A
Z
?
Use Trigonometry with Right Triangles 5 mi.
Use Trigonometry with Right Triangles 15o
25o 5 mi.
A
Z
A
Z
?
Use Trigonometry with Right Triangles
Use Trigonometry with Right Triangles 15o
5 mi. A
Z
3
Algebra 2 CH 9.1 Use Trigonometry with Right Triangles Day 2.notebook
Use Trigonometry with Right Triangles 15o
Use Trigonometry with Right Triangles
Review
25o
y
x
5 mi.
A
August 28, 2013
Z
Use Trigonometry with Right Triangles
45o
Find the length of sides x and y.
Use Trigonometry with Right Triangles
Review
x 45o
Use Trigonometry with Right Triangles Review Since this is an isosceles triangle:
45o
Use Trigonometry with Right Triangles 9.1 Use Trigonometry with Right Triangles •
sine
•
cosine
•
tangent
•
secant
•
cosecant
•
cotangent
4
