Review Chapter 6

1. Solve the triangle with A = 40 degrees, B = 60 degrees, and a = 4.

2. Solve the triangle with A = 35 degrees, B = 15 degrees and c = 5.

3. Solve the triangle with A = 40 degrees, a = 3 and b = 2

4. Solve the triangle with a = 6 b = 8 and A = 35 degrees.

5. Solve the triangle with a = 2 c = 1 and C = 50 degrees.

6. Find the area of a sector of a circle with a radius of 12cm subtended by an angle of 65 degrees.

7. A tractor tire has a diameter of 4 feet. What is the angular velocity in radians per minute if the tractor is traveling at 35 miles per hour. How many revolutions per minute does the tire make?

8. To measure the height of a mountain, a surveyor takes two sightings of the peak at a distance of 900 meters apart on a direct line to the mountain. The first observation results in an angle of elevation of 47 degrees, while the second results in a measure of 35 degrees. If the transit is 2 meters high, what is the height of the mountain?

9. Coast Guard Station June is located 120 miles due west of Station July. A ship at sea sends a distress signal which is reached at each station. The bearing of the ship from June is N 40E. The call to station July is N30W. How far is each station from the ship? Which station should dispatch a rescue helicopter? How long will it take the helicopter to reach the ship if it travels at 200mph?

10. Solve the triangle with a = 2 b = 3 and C = 60. What is the area of this triangle?

11. Solve the triangle with a = 4, b = 3 and c = 6. Then use Heron’s formula to find the area of the triangle.

12. A motorized sailboat leaves Naples Florida bound for Key West, 150 miles away. Maintaining a constant speed of 15 mph, but encountering high winds and a strong current, the crew finds itself 20 off course after 4 hours.

a. How far is the sailboat from Key West at this time?

b. Through what angle should the crew turn to correct its course?

c. How much time has been added to the trip?

13. A cow is tethered to one corner of a square barn 10 ft. by 10 ft. with a rope that is 100 feet long. What is the maximum grazing area for the cow?

14. Find the exact values of the following:

a.

b.

c.

d.

e.

f.

g.

h.

15. Find the terminal point when t is )

16. If the terminal point determined by t is, find the values of the six trigonometric functions.

17. If the terminal point determined by t is, find the values of the six trigonometric functions.

18. Find the approximate values to two decimal points for cos(6.1), csc(5.3), and tan(4.7).

19. Find the values of the six trigonometric functions of t given that sec t = -3 and tan t > 0.

20. Determine algebraically whether the function is odd, even or neither.

21. Fill in the following chart:

t	0				1
Sin t
Cos t

22.