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Geometry

Geometry. One is always a long way from solving a problem until one actually has the answer . Stephen Hawking. Today: ACT VOCAB CHECK 9.6 Instruction Practice. Geometry. One is always a long way from solving a problem until one actually has the answer. Stephen Hawking. Assignment:

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Geometry

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  1. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: • ACT VOCAB CHECK • 9.6 Instruction • Practice

  2. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • 9.5 p 562 #9-41 every other odd • Homework Quiz Friday • Test Chapter 9 Tuesday

  3. ACT CHECK UP: Orange or Blue Which trig ratio is defined as : adjacent hypotenuse ORANGEBLUE COSINE SINE

  4. ACT CHECK UP: Orange or Blue What is tan K? ORANGEBLUE 8/15 8/17

  5. ACT CHECK UP: Orange or Blue Which trig ratio is defined as : opposite hypotenuse ORANGEBLUE COSINE SINE

  6. ACT CHECK UP: Orange or Blue When the angle of elevation of the sun is 50°, a flagpole casts a 16.8 foot shadow. Find the height of the flagpole. ORANGEBLUE 14 ft 20 ft

  7. ACT CHECK UP: Orange or Blue Which trig ratio is defined as : opposite adjacent ORANGEBLUE COSINE TANGENT

  8. 9.6 Solving Right Triangles Objectives: • Applying Trig Ratios to Solve Right Triangles • Use Trig Ratios in Real Life Examples Vocabulary: Solving a Right Triangle

  9. 9.6 Solving Right Triangles To solve a right triangle: determine all six parts of the triangle. This includes: a right angle, two acute angles and all three sides. What does this triangle still need in order to be solved? 30° 8

  10. 9.6 Solving Right Triangles Solve the right triangle. Round any decimals to the nearest tenth. Where should we start?

  11. 9.6 Solving Right Triangles Solve the right triangle. Round any decimals to the nearest tenth. Next?

  12. 9.6 Solving Right Triangles Solve the right triangle. Round any decimals to the nearest tenth. Final Answer?

  13. 9.6 Solving Right Triangles Solve the right triangle. Round any decimals to the nearest tenth. Where should we start?

  14. 9.6 Solving Right Triangles Solve the right triangle. Round any decimals to the nearest tenth. Next? New idea: Find the measure of each acute angle. Still set up a trig ratio.

  15. 9.6 Solving Right Triangles A plane must clear a building near the end of the runway that is 80 feet high. If the building is 100 feet from the end of the plane, what does the angle of elevation at take off need to be? How many feet does the plane have to clear the building? DRAW A PICTURE!!!

  16. ACT CHECK UP: Orange or Blue Which would find the mU? ORANGEBLUE sin-1(7.5/19.5) sin(7.5/19.5)

  17. ACT CHECK UP: Orange or Blue Which angle has a cosine of 3/5? ORANGEBLUE A B

  18. ACT CHECK UP: Orange or Blue A wheelchair ramp has a rise of 1 foot and a horizontal length of 14 feet. Find the angle the ramp makes with the ground. ORANGEBLUE 4° 6°

  19. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • 9.6 p 570 #15–39 Every Other Odd • Homework Quiz Friday • Test Chapter 9 Tuesday

  20. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: • Homework Quiz • ??????? • Practice

  21. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • 9.6 p 570 #15–39 Every Other Odd • Homework Quiz Friday • Test Chapter 9 Tuesday

  22. Things to Know

  23. Trigonometric Ratios • Set up sine, cosine, and tangent ratios as fractions • Find side lengths using trigonometric ratios 11 a b 67°

  24. Then use a calculator to find the measure of B: 2nd function m B ≈ 33.7° Make sure you are in “Degree” Mode!!!

  25. Ratio Angle (degrees) sin A = x sin-1 x = mA Ratio Angle (degrees)

  26. Solving Right Triangles • Solve for all three sides and all three angles of a triangle • Use inverse trigonometry to determine angle measures of triangles

  27. Special Right Triangles • Rule for special right triangles • Simplify answers in radical form • Use characteristics of special right triangles to solve for side lengths

  28. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • Review Chapter 9 • Test Chapter 9 on Tuesday

  29. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: • Chapter 9 Review • Practice

  30. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • Chapter 9 Review • Test Chapter 9 on Tuesday

  31. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • Finish Review • Test Chapter 9 on Tuesday

  32. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: • Over Review • Test Chapter 9 • Practice

  33. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • Finish Review • Test Chapter 9 on Tuesday

  34. Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Assignment: • Chapter 10 Vocab WS • Make Up Work!!!!

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