1. Solve for the missing side length.

3. A forest ranger spots a fire from the top of a look-out tower. The tower is 160 feet tall and the angle of depression from the top of the tower is 12 . How far is the fire from the base of the tower to the nearest tenth?

5. Solve for the missing side length.

7. Find The Length of QD D U Q A 8 9 12

8. Find The Length of QD D U Q A 8 9 12

9. Determine whether it is possible for a triangle to have side lengths that measure 30, 40, 50. If the triangle is possible, determine what type of triangle it is (acute, right, obtuse).

11. Solve for the missing angle 10 FT 22 FT X

12. Solve for the missing angle 10 FT 22 FT X

13. A ladder against the side of a building forms an angle of 65 with the ground. The foot of the ladder is 11 feet from the building and the ladder reaches to the very top of the building. Find the length of the ladder.

15. Solve for the missing angle. 15 M 8 M X

16. Solve for the missing angle. 15 M 8 M X

17. A ladder against the side of a building forms an angle of 65 with the ground. The foot of the ladder is 11 feet from the building and the ladder reaches to the very top of the building. Find the ladder’s height on the building to the nearest tenth.

19. A surveyor is 130 feet from a tower. The angle of elevation to the top of the tower is 32˚. The surveyor’s instrument is 4.75 feet above the ground (or his line of sight is 4.75 feet above the ground). What is the height of the tower?

21. What is the length of the diagonal of a rectangle that has a length of 16 and a width of 30?

23. Determine whether it is possible for a triangle to have side lengths that measure 9, 18, 25. If the triangle is possible, determine what type of triangle it is (acute, right, obtuse).

25. A right triangle has side lengths of 6, 8 and 10. What are the angle measures of the two acute angles to the nearest tenth?

27. Milhouse Van Houten is at the top of a lighthouse looking at a boat in the ocean. If the lighthouse is 100 feet tall, and the boat is 450 feet from the bottom of the lighthouse, what is the angle of elevation at the boat to the nearest tenth of a degree?

29. Tom is standing at the bottom of a hill, he looks 52 degrees up and sees Bruce on top of the hill. If Tom is 400 feet from the base of the hill, how high up is Bruce?

31. Nicole is driving a boat that is facing a 135 foot lighthouse. The angle of elevation from the boat to the top of the lighthouse is 35 o. How far is Nicole from the lighthouse?

33. Solve for the missing side length.

35. Determine whether it is possible for a triangle to have side lengths that measure 16, 23, 30. If the triangle is possible, determine what type of triangle it is (acute, right, obtuse).

37. Solve for the missing side length.