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Section 7.6 Apply the Sine and Cosine Ratios Goal Apply the Sine and Cosine Ratios Sine Ratio Let ∆ABC be a right triangle with acute A. sin opposite BC hypotenuse AC Cosine Ratio Let ∆ABC be a right triangle with acute A. cos adjacent AB hypotenuse AC Example 1: Find sin U and sin W. Write each answer as a fraction and as a decimal rounded to four places. Example 2: Find cos S and cos R. Write each answer as a fraction and as a decimal rounded to four places. Example 3: You walk from one corner of a basketball court to the opposite corner. Write and solve a proportion using a trigonometric ratio to approximate the distance of the walk. Example 4: You are at the top of a roller coaster 100 feet above the ground. The angle of depression is 44°. About how far do you ride down the hill? Section 7.6 Apply the Sine and Cosine Ratios Example 5: A railroad crossing arm that is 20 feet long is stuck with an angle of elevation of 35° Find the lengths x and y. Checkpoint: Use a sine, cosine, or tangent ratio to find the length of the sides in the triangles below. a. b. x 10 40º 22º 10 x d. Find m, x, and y. 15 28º y mº x 68º c. 10 x