warm-up pg. 462 #59. warm-up warm-up cos = adjacent / hypotenuse opposite hypotenuse 20 29 adjacent...
TRANSCRIPT
Warm-UpWarm-Up
Pg. 462
#59
Warm-UpWarm-Up
Warm-UpWarm-Up
Cos Cos = adjacent / hypotenuse = adjacent / hypotenuse
oppositeopposite
hypotenusehypotenuse
2020
2929adjacentadjacent
aa22 + 20 + 2022 = 29 = 2922
aa22 = 29 = 292 2 - 20- 2022
aa22 = 441 = 441a = 21a = 21
Use Pythagorean Theorem Use Pythagorean Theorem to find the missing (opposite) side.to find the missing (opposite) side.
Warm-UpWarm-Up
Cos Cos = adjacent / hypotenuse = adjacent / hypotenuse
oppositeopposite
hypotenusehypotenuse
2121
2929adjacentadjacent
2020
Assignment QuestionsAssignment Questions
Lesson 8-4 Lesson 8-4 Trigonometry Trigonometry
pp. 456-462
ObjectivesObjectives
• Find trigonometric ratios using right triangles.• Solve problems using trigonometric ratios.
BenchmarksBenchmarks
• 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)
NoteNote
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 ProgressCheck Your Progress p. 458p. 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 pictureDraw a pictureto representto representthe situation!the situation!
Check Your ProgressCheck Your Progress p. 458p. 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?
15 yd71°
Label theLabel thegiven info!given info!
x
Which ratioWhich ratiouses adjacent uses adjacent and opposite?and opposite?
Check Your ProgressCheck Your Progress p. 458p. 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?
15 yd
TANGENT!!!TANGENT!!!
71°
x
Check Your ProgressCheck Your Progress p. 458p. 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?
15 yd71°
x
Solve for x!Solve for x!43.6 yards43.6 yards
Mid-Chapter QuizMid-Chapter Quiz p. 463p. 463
10. Find x to the nearest tenth.
32x
53
Label SidesLabel SidesWhich ratio usesWhich ratio usesadj & hyp?adj & hyp?COSINE!!!COSINE!!!Solve for x!Solve for x!53.253.2
QuestionsQuestions
AssignmentAssignment
PracticePractice
Pg. 460-461 Pg. 460-461
#24, 25, 44, #24, 25, 44, 46, 47, 4846, 47, 48
Extra PracticeExtra Practice
GeometryOnline.com GeometryOnline.com
Self-Check QuizSelf-Check QuizLesson 8-4Lesson 8-4