1. 1. 2. Find

3. S O H C A H T O A Sin = Cos = Tan =

4. ΘoΘo 30 ft 40 What do we know? Finding the Missing Angle Step-by-Step

5. 30 ft What do we want to know? Finding the Missing Angle Step-by-Step We know: the opposite side and the hypotenuse. 40 ΘoΘo

6. 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 ΘoΘo

7. 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. ΘoΘo

8. 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 ΘoΘo

9. 30 ft Solve your proportion: Finding the Missing Side Step-by-Step 40 ΘoΘo

10. 46.9 17 What do we know? ΘoΘo

11. 46.9 17 What do we want to know? We know: adjacent and hypotenuse ΘoΘo

12. 46.9 17 Which trig ratio do we use? We want to know : angle ΘoΘo We know: adjacent and hypotenuse

13. 46.9 17 Set up and solve the proportion? We will use: cos ΘoΘo We know: adjacent and hypotenuse We want to know : angle

14. 46.9 17 Set up and solve the proportion? We know: angle and hypotenuse We want to know : adjacent side We will use: cos ΘoΘo

15. 46.9 17 ΘoΘo Solve your proportion:

16. 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?

17. 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? ΘoΘo What do we know? 5m 4m

18. 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 ΘoΘo

19. 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 ΘoΘo We know: opposite and hypotenuse

20. 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 ΘoΘo We need: angle We know: opposite and hypotenuse

21. 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 ΘoΘo Set up proportion and solve.