1. 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Inverse Trigonometric Functions The Law of Sines The Law of Cosines ApplicationPicture This

2. Evaluate the expression without a calculator (use the table). Give your answer in degrees.

4. Evaluate the expression without a calculator (use the table). Give your answer in radians.

6. Find the measure of the angle θ. Round to one decimal place. 5 3 θ

8. θ 6 5

10. Solve the equation for θ. Round to one decimal place.

12. Write the formula for the Law of Sines.

14. Solve ∆ABC 30°45° 10 C B A

16. Solve ∆ABC

18. Find the area of the triangle with the given side lengths and included angle

20. Find the area of ∆ABC 6 82° 8 C BA

22. Write the formula for the Law of Cosines.

24. Solve ∆ABC 89 120° 73C B A

26. Solve ∆ABC

28. Use the Law of Sines, Law of Cosines, or Pythagorean Theorem to solve ∆ABC 9 60° 30 C B A

30. Find the area of ∆ABC 7 10 5 C B A

32. A builder needs to construct a wheelchair ramp 24 feet long that rises to a height of 5 feet above ground level. Approximate the angle that the ramp should make with the ground.

33. 24 5 θ

34. A surveyor wants to find the width of a narrow, deep gorge from a point on the edge. To do this, the surveyor takes measurements as shown in the figure. How wide is the gorge? 105° 10° 50 ft

36. You are buying a piece of land shown. The price of the land is $2500 per acre (1 acre = 4840 square yards). How much does the land cost? 100 yd 95° 250 yd C BA

38. How wide is the pond shown below? 45° 152 ft 131 ft

40. A farmer has a triangular field with sides of lengths 125, 160, and 225 yards each. Find the number of acres in the field. (1 acre = 4840 sq. yards)

41. About 2 acres

52. Famous Kansans

53. In the capitol building in Topeka, there is a large mural of an famous abolitionist from Kansas. He became well known after Harper’s Ferry and his fight against slavery. Name that Kansan.

54. John Brown