2. Do Now: A golf ball is launched at 20 m/s at an angle of 38˚ to the horizontal. 1.What is the vertical component of the velocity? 2.What is the horizontal component of the velocity? 3.What does the word “component” mean to you?

3. Objective- To solve problems involving the Pythagorean Theorem and Trig Identities For Right Triangles Only! leg hypotenuse - always opposite the right angle

4. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse a b c

5. b a a b Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c

6. a b c Pythagorean Theorem Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!

7. 6 8 x Solve for x.

8. 4 7 y Solve for y.

9. 6 t 15 Solve for t.

10. Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20

11. Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20 5 12 13 10 24 26 15 36 39 7 24 25 14 48 50 21 72 75 9 15 12

12. To the nearest tenth of a foot, find the length of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. 4 ft. 10 ft. x

13. 20 miles A car drives 20 miles due east and then 45 miles due south. To the nearest hundredth of a mile, how far is the car from its starting point? 45 miles x

14. TRIGONOMETRIC IDENTITIES

15. SIN= OPP HYP COS= HYP ADJ OPP ADJ TAN= SohCahToa

16. X SIN= OPP HYP Soh

17. X COS= HYP ADJ Cah

18. X OPP ADJ TAN= Toa

19. SAMPLE RIGHT TRIANGLE PROBLEMS C A B Ø A.) sin Ø = _______ B.) cos Ø = _______ C.) tan Ø = _______ 1.)x y z 20 30 60 Find the values to the nearest tenth of: A.) XY = ________ B.) YZ = ________ B/A C/A B/C 11.5 23.1

20. A. How far north of its original position is the ship? B. How far east of its original position is the ship? A ship sails 340 kilometers on a bearing of 75 degrees.

21. B A 75 340 A. Cos 75 = A 340 B. Sin 75 = B 340