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Warm-Up BellExercises Work Use this diagram for Exercises 1-4. 1. Name the hypotenuse. 2. Name the leg opposite X. Warm-Up Exercises Notes Sine and Cosine Ratios Warm-Up1Exercises EXAMPLE Find sin S and sin R. Write each answer as a fraction and as a decimal rounded to four places. Warm-Up Exercises GUIDED PRACTICE for Example 1 Find sin X and sin Y. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. Warm-Up2Exercises EXAMPLE Find cos U and cos W. Write each answer as a fraction and as a decimal. Warm-Up3Exercises EXAMPLE You want to string cable to make a dog run from two corners of a building, as shown in the diagram. Write and solve a proportion using a trigonometric ratio to approximate the length of cable you will need. Warm-Up Exercises GUIDED PRACTICE In Exercises 3 and 4, find cos R and cos S. Warm-Up Exercises Notes Angle of Elevation and Angle of Depression Warm-Up4Exercises EXAMPLE You are skiing on a mountain with an altitude of 1200 meters. The angle of depression is 21o. About how far do you ski down the mountain? Warm-Up5Exercises EXAMPLE You want to build a skateboard ramp with a length of 14 feet and an angle of elevation of 26°. You need to find the height and length of the base of the ramp. Warm-Up6Exercises EXAMPLE Use a special right triangle to find the sine and cosine of a 60o angle. Warm-Up6Exercises EXAMPLE Use a special right triangle to find the sine and cosine of a 30o angle. Daily Homework Warm-Up Exercises Quick CheckQuiz Use this diagram for Exercises 1- 3. 1. If x = 4 5 , y = 4 and z = 4 6 , find sin X, sin Y, cos X and cos Y. Daily Homework Warm-Up Exercises Quick CheckQuiz Use this diagram for Exercises 1- 3. 2. If y = 10 and m o Y = 15 , find z to the nearest tenth. Daily Homework Warm-Up Exercises Quick CheckQuiz Use this diagram for Exercises 1- 3. 3. If z = 12 and m o X = 84 , find y to the nearest tenth. Daily Homework Warm-Up Exercises Quick CheckQuiz 4. A lamppost is 11 feet tall. If the angle of elevation of the sun is 49o , how far is the top of the lamppost from the tip of its shadow? Warm-Up Exercises For Tomorrow Homework HW: 7.6 (pg. 471-473) #4,6,8,12,16,33,34