Survey

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

Survey

Document related concepts

Transcript

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