Unit 3: Right Triangle Trigonometry 3.4 Solve Right Triangles

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? solve side lengths angle The length of two sides The length of 1 side and 1 acute angle The length of 1 side and 1 trigonometric ratio

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? 3.1 2 + 8.9 2 = 𝑥 2 9.61+79.21= 𝑥 2 88.82= 𝑥 2 9.42 9.42=𝑥 9.4 tan −1 3.1 8.9 =∠𝑃 19˚ 19.2°=∠𝑃 71˚ R = 90 – 19.2 = 70.8˚

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? Example 2 sin 32° = 𝐵𝐶 7.4 3.92=𝐵𝐶 3.92 6.28 𝑥 2 + 3.92 2 = 7.4 2 6.28 𝑥 2 +15.37=54.76 3.92 𝑥 2 =39.39 𝑥=6.28 58˚ C = 90 – 32 = 58˚

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? angle of elevation angle of depression

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? Example 3

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? Example 4

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? Example 5 618.7 ft

3.4 Solve Right Triangles using Trigonometric Ratios Daily Agenda G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems What am I learning today? Use the Pythagorean Theorem to Solve Right Triangles Use Trigonometric Ratios to Solve Right Triangles What am I going to do today? 5 Question Daily Assessment Daily Ticket out the Door How will I show you that I’ve learned it? Example 6 991.86 ft