1. 2. Find S O H C A H T O A Sin = Cos = Tan = oo 30 ft 40 What do we know? Finding the Missing Angle Step-by-Step 30 ft What do we want to know? Finding the Missing Angle Step-by-Step We know: the opposite side and the hypotenuse. 40 oo 40 ft Which trigonometric ratio do we use? Finding the Missing Side Step-by-Step We know: the opposite side and the hypotenuse. We want to know: angle 40 oo 30 ft 40 Set up and solve your proportion? Finding the Missing Angle Step-by-Step We want to know: angle We sill use: sin We know: the opposite side and the hypotenuse. oo 30 ft Set up and solve your proportion? Finding the Missing Side Step-by-Step We know: angle and opposite side We want to know: hypotenuse We sill use: sin 40 oo 30 ft Solve your proportion: Finding the Missing Side Step-by-Step 40 oo What do we know? oo What do we want to know? We know: adjacent and hypotenuse oo Which trig ratio do we use? We want to know : angle oo We know: adjacent and hypotenuse Set up and solve the proportion? We will use: cos oo We know: adjacent and hypotenuse We want to know : angle Set up and solve the proportion? We know: angle and hypotenuse We want to know : adjacent side We will use: cos oo oo Solve your proportion: Problem: A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground? What does this situation look like? Problem: A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground? oo What do we know? 5m 4m Problem: A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground? We know: opposite and hypotenuse What do we need? 5m 4m oo Problem: A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground? We need: angle Which trig ratio do we use? 5m 4m oo We know: opposite and hypotenuse Problem: A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground? We use: sin Set up proportion and solve. 5m 4m oo We need: angle We know: opposite and hypotenuse Problem: A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground? 5m 4m oo Set up proportion and solve.