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WA10 – Unit 7 – Trigonometry of Right Triangles Lesson 6 – The Cosine Ratio - Measure Date: _______________ Lesson 6: The Cosine Ratio - Measure Finding the Measure of an Angle Using Cos 1) Determine your values of opposite, adjacent, and hypotenuse 2) Substitute values into ratios 3) Find ratio as a decimal 4) Use cos 1 to find the measure of the angle. Example 1: In DEF, identify the side opposite D and the side adjacent to D. Determine the measure of the angles using Cos. Example 2: Find the measures of the angle you can using the Cosine Ratio WA10 – Unit 7 – Trigonometry of Right Triangles Lesson 6 – The Cosine Ratio - Measure Date: _______________ Worksheet 6 1. Find the Cosine Ratio and the measure of the angle A 5 4 C B 2. Find the Cosine Ratio and the measure of the angle J G 4 10 H 2. You are building a ramp that has a length of 15 ft. The ramp travels a horizontal distance of 22 ft. What is the angle of elevation? 3. A triangle has the measures 3, 4, and 5. Sketch a drawing of the triangle. Determine the measure of each angle using the cosine ratio. 4. Determine the following sine ratio to four decimal places: a) cos 15˚ b) cos 30 ˚ c) cos 60 ˚ d) cos 80 ˚ 5. Find the indicated angle: a) b) x 12.4 cm 8.9 cm 7.9 cm x 6.2 cm