Transcript Geometry_8-4 Trigonometry_2014-Day3

Warm-Up
Pg. 462
#59
Warm-Up
Warm-Up
Cos  = adjacent / hypotenuse
adjacent
hypotenuse 29
20
opposite
Use Pythagorean Theorem
to find the missing (opposite) side.
a2 + 202 = 292
a2 = 292 - 202
a2 = 441
a = 21
Warm-Up
Cos  = adjacent / hypotenuse
adjacent
hypotenuse 29
20
opposite 21
Assignment Questions
Lesson 8-4
Trigonometry
pp. 456-462
Objectives
• Find trigonometric ratios using right triangles.
• Solve problems using trigonometric ratios.
Benchmarks
• 1b. Given exact irrational solutions, determine the best
rational estimation. (DOK 2)
• 1c. Solve real-world or application problems that involve
square roots and the Pythagorean Theorem. (DOK 3)
• 4b. Solve real-world applications and mathematical problems
to find missing measurements in right triangles by applying
special right triangle relationships, geometric means, or
trigonometric functions. (DOK 2)
• 4e. Apply the relationships of sine, cosine, and tangent to
problems involving right triangles. (DOK 2)
Note
You can use trigonometric ratios to find the missing
measures of a right triangle if you know the measures
of two sides of a triangle or the measure of one side
and one acute angle.
Check Your Progress p. 458
3. Jonathan is standing 15 yards from a roller coaster.
The angle formed by the ground to the top of the
roller coaster is 71. How tall is the roller coaster?
Draw a picture
to represent
the situation!
Check Your Progress p. 458
3. Jonathan is standing 15 yards from a roller coaster.
The angle formed by the ground to the top of the
roller coaster is 71. How tall is the roller coaster?
Label the
given info!
x
71°
15 yd
Check Your Progress p. 458
3. Jonathan is standing 15 yards from a roller coaster.
The angle formed by the ground to the top of the
roller coaster is 71. How tall is the roller coaster?
Which ratio
uses
TANGENT!!!
adjacent
and opposite?
x
71°
15 yd
Check Your Progress p. 458
3. Jonathan is standing 15 yards from a roller coaster.
The angle formed by the ground to the top of the
roller coaster is 71. How tall is the roller coaster?
Solveyards
for x!
43.6
x
71°
15 yd
Mid-Chapter Quiz
p. 463
10. Find x to the nearest tenth.
Which ratio uses
Label
COSINE!!!
Sides
Solve
for x!
adj & hyp?
53.2
53
x
32
Questions
Assignment
Practice
Extra Practice
Pg. 460-461
GeometryOnline.com
#24, 25, 44,
46, 47, 48
Self-Check Quiz
Lesson 8-4