1. 8-2
Trigonometric Ratios
Holt McDougal Geometry
Holt Geometry

2. Warm Up
Write each fraction as a decimal rounded to the nearest hundredth.
Solve each equation.

3. Use your calculator to find the trigonometric ratio
Use your calculator to find the trigonometric ratio. Round to the nearest hundredth.
sin 52°
Be sure your calculator is in degree mode, not radian mode.
Caution!

4. Steps for using trigonometric ratios.
Circle ONE angle.
Label Opposite, adjacent, or hypotenuse.
Use SOHCAHTOA

5. 1. Find the length. Round to the nearest hundredth.BC

6. Caution!
Do not round until the final step of your answer. Use the values of the trigonometric ratios provided by your calculator.

7. 2. Find the length. Round to the nearest hundredth.QR

8. 3. Find the length. Round to the nearest hundredth.FD

9. 4. Find the length. Round to the nearest hundredth.DF

10. 5. Find the length. Round to the nearest hundredth.

11. 6. Find the length. Round to the nearest hundredth.BC

12. 7. Find the length. Round to the nearest hundredth.JL

13. 8.

14. 9.

15. 10.

16. 11.

17. 12.

18. 13.

19. 14.

20. Example 5: Problem-Solving Application
15. The Pilatusbahn in Switzerland is the world’s steepest cog railway. Its steepest section makes an angle of about 25.6º with the horizontal and rises vertically about 0.9 km. To the nearest hundredth of a kilometer, how long is this section of the railway track?

21. 16. A flagpole is held upright by 30m long wires to the ground
16. A flagpole is held upright by 30m long wires to the ground. If the wires make an angle of 25 degrees to the ground, how high is the flagpole?

22. 17. A surveyor wants to the measure the width of a river at point A
17. A surveyor wants to the measure the width of a river at point A. She places stakes 100 feet apart on the far side of the river and she is standing at point A. She finds that the measurement of angle BAC is 27 degrees and ABC is 90 degrees. How wide is the river?

23. Jake leaned a 12-foot ladder against his house.
If the angle formed by the ladder and the ground
is 68°, how far from the base of the house did he
place the ladder?

24. A ramp is used to load suitcases on an airplane.
If the cargo door is 7 feet from the ground and
the angle formed by the end of the ramp and
the ground is 25°, how long is the ramp?

25. Lesson Quiz: Part I
Use a special right triangle to write each trigonometric ratio as a fraction.
1. sin 60° cos 45°
Use your calculator to find each trigonometric ratio. Round to the nearest hundredth.
3. tan 84° 4. cos 13°

26. Lesson Quiz: Part II
Find each length. Round to the nearest tenth.
5. CB
6. AC
Use your answers from Items 5 and 6 to write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
7. sin A cos A tan A

27. PARCC

28. 1. c.

29. Homework

34. Kuta