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1.Draw a 315 degree angle and then find an angle co-terminal with it.
2. Express 65.4332 degrees in degrees, minutes and seconds.
3. Find all six trigonometric functions of an angle in standard position whose terminal side passes through ( , )
4. Find the reference angle of 265 degrees.
5. Give the exact value for the 6 trigonometric functions of a 120degree angle.
6. Find sec 106.7 degrees to four decimal places.
7. Find the angle to the nearest minute if csc = 1.03
8. Find tan if cos =
Use the correct method to solve for all the angles and sides of the triangle. If there are two, show the sides and angles for both
9. a=10 B=35, C=65
10. b=4, c=6, a=9
11. b=15, c=19, B=60 degrees
12. A cruise ship maintains an average speed of 26 knots in going form San Juan, Puerto Rico, to Barbados, West Indies, a distance of 800 nautical miles. To avoid a storm, the captain heads out of San Juan in a direction of 42degrees off a direct heading to Barbados. The captain maintains the 26 knots speed for 16 hours, after which time the path to Barbados becomes clear. Through what angle should the captain turn to head directly to Barbados? How long will it take for the ship to make the complete trip?
13. A vertical television mast is mounted on the roof of a building. From a point 750 feet from the base of a building, the angles of elevation to the bottom and top of the mast measure 53 degrees and 60 degrees respectively. How tall is the mast?
14. In a quadrilateral ABCD, AB =3, BC=5, CD=6, and DA=7. The length of the diagonal BD=7. Find the length of the other diagonal
15. A 40foot extension ladder leaning against a building makes a 45 degree angle with the ground. How far up the building does the ladder touch?
16. One Coast Guard station (a) is located 280 miles due south of another one (b). A ship at sea sends an SOS call that is received by each station. The call to the station (a) indicates the ship is located 46 degrees east of north; the call to station (b) indicates the ship’s location is 20 degrees east of south. Find how far away each station is from the ship.
17. Jim is flying a plane from Midville to Vista, a distance of 600 km. Because of a thunderstorm, he had to fly 19.9 degrees off course for 500 km. How far is he now from Vista, and through what angle should he turn to fly directly there?
18. A major league baseball diamond is actually 90 feet on a side. The pitching rubber is located 45 feet from home plate on a line joining home plate and second base. Find the distance from the pitching rubber to first base. Also find the angle the pitcher must turn to throw to first base.