Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Survey

Document related concepts

Transcript

CCGPS Analytic Geometry Unit 2 Right Triangle Trigonometry References Textbook Connection: Holt McDougal Analytic Geometry Unit 2 Lesson on sines: http://brightstor m.com/math/ge ometry/basictrigonometry/tri gonometricratios-sine/ Lesson on cosines: http://brightstor m.com/math/ge ometry/basictrigonometry/tri gonometricratios-cosine/ Lesson on Right Triangle Trigonometry: http://www.khana cademy.org/video /basictrigonometry?play list=Trigonometry Example 1 A In this unit, students will explore and understand relationships that exist between side and angles of right triangle involving trigonometric functions. If you need more practice go online textbook at MY.HRW.COM. Students were given username and password. If you forgot your password see me Concepts Students will Use & Understand Helpful Links: Students Understand through similarity, side ratios are properties of the angles of a right triangle, leading to the definitions of trigonometric ratios for acute angles. sin Explain and use the relationship between the sine and cosine of complementary angles. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. length of opposite side length of adjacent side cos length of hypotenuse length of hypotenuse length of opposite side tan length of adjacent side Vocabulary Adjacent Side Cosine Complementary Angles Opposite Side Tangent Angle of Depression Sine Ratio Angle of Elevation Try: http://www.amathsdictionaryforkids.com/dictionary.html for definitions and animated explanations. B Sin(A) = Sin(B) = Cos(A) = Cos(B) = Tan(A) = Tan(B) = Example 2 Ricardo is standing 75 feet away from the base of a building. The angle of elevation from the ground where Ricardo is standing to the top of the building is 32 . What is the height of the building, to the nearest tenth of a foot? Example 3 An airplane is at an altitude of 5,900 feet. The airplane descends at an angle of 3 . About how far will the airplane travel in the air before it reaches the ground? Example 4 Answer Key Example 1: 4 sin A: 0.8 5 sin B: 3 0.6 5 Example 3: x = 113,000 ft cos A: 3 0.6 5 tan A = 4 1.3 3 cos B: 4 0.8 5 tan B = 3 0.75 4 Example 2: x = 46.9 ft Example 4: A