#### Transcript 8.2 Trigonometric Ratios

8-2 8-2 Trigonometric TrigonometricRatios Ratios HoltMcDougal GeometryGeometry Holt 8-2 Trigonometric Ratios Warm Up Write each fraction as a decimal rounded to the nearest hundredth. 1. 2. Solve each equation. 3. Holt McDougal Geometry 4. 8-2 Trigonometric Ratios Use your calculator to find the trigonometric ratio. Round to the nearest hundredth. sin 52° Holt McDougal Geometry Caution! Be sure your calculator is in degree mode, not radian mode. 8-2 Trigonometric Ratios Steps for using trigonometric ratios. 1. Circle ONE angle. 2. Label Opposite, adjacent, or hypotenuse. 3. Use SOHCAHTOA Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. BC Holt McDougal Geometry 8-2 Trigonometric Ratios Caution! Do not round until the final step of your answer. Use the values of the trigonometric ratios provided by your calculator. Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. QR Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. FD Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. DF Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. ST Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. BC Holt McDougal Geometry 8-2 Trigonometric Ratios Find the length. Round to the nearest hundredth. JL Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Holt McDougal Geometry 8-2 Trigonometric Ratios Example 5: Problem-Solving Application The Pilatusbahn in Switzerland is the worldâ€™s steepest cog railway. Its steepest section makes an angle of about 25.6º with the horizontal and rises about 0.9 km. To the nearest hundredth of a kilometer, how long is this section of the railway track? Holt McDougal Geometry 8-2 Trigonometric Ratios A flagpole is held upright by 30m long wires to the ground. If the wires make an angle of 25 degrees to the ground, how high is the flagpole? Holt McDougal Geometry 8-2 Trigonometric Ratios A surveyor wants to the measure the width of a river at point A. She places stakes 100 feet apart on the far side of the river and she is standing at point A. She finds that the measurement of angle BAC is 27 degrees and ABC is 90 degrees. How wide is the river? Holt McDougal Geometry 8-2 Trigonometric Ratios Lesson Quiz: Part I Use a special right triangle to write each trigonometric ratio as a fraction. 1. sin 60° 2. cos 45° Use your calculator to find each trigonometric ratio. Round to the nearest hundredth. 3. tan 84° Holt McDougal Geometry 4. cos 13° 8-2 Trigonometric Ratios Lesson Quiz: Part II Find each length. Round to the nearest tenth. 5. CB 6. AC Use your answers from Items 5 and 6 to write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth. 7. sin A Holt McDougal Geometry 8. cos A 9. tan A