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Warm-Up Pg. 462 #59. Warm-Up Warm-Up Cos  = adjacent / hypotenuse opposite hypotenuse 20 29 adjacent a 2 + 20 2 = 29 2 a 2 = 29 2 - 20 2 a 2 = 441 a.

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Presentation on theme: "Warm-Up Pg. 462 #59. Warm-Up Warm-Up Cos  = adjacent / hypotenuse opposite hypotenuse 20 29 adjacent a 2 + 20 2 = 29 2 a 2 = 29 2 - 20 2 a 2 = 441 a."— Presentation transcript:

1 Warm-Up Pg. 462 #59

2 Warm-Up

3 Warm-Up Cos  = adjacent / hypotenuse opposite hypotenuse 20 29 adjacent a 2 + 20 2 = 29 2 a 2 = 29 2 - 20 2 a 2 = 441 a = 21 Use Pythagorean Theorem to find the missing (opposite) side.

4 Warm-Up Cos  = adjacent / hypotenuse opposite hypotenuse 21 29 adjacent 20

5 Assignment Questions

6 Lesson 8-4 Trigonometry pp. 456-462

7 Objectives Find trigonometric ratios using right triangles. Solve problems using trigonometric ratios.

8 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)

9 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.

10 Check Your Progressp. 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!

11 Check Your Progressp. 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 the given info! x

12 Which ratio uses adjacent and opposite? Check Your Progressp. 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!!! 71° x

13 Check Your Progressp. 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! 43.6 yards

14 Mid-Chapter Quizp. 463 10. Find x to the nearest tenth. 32 x 53  Label Sides Which ratio uses adj & hyp? COSINE!!! Solve for x! 53.2

15 Questions

16 Assignment Practice Pg. 460-461 #24, 25, 44, 46, 47, 48 Extra Practice GeometryOnline.com Self-Check Quiz Lesson 8-4

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