Determine the signs of the trigonometric functions of an angle in standard position with the given measure. SeeExample 2. 178°

Concept Check What is wrong with the following item that appears on a trigonometry test? "Find sec θ , given that cos θ = 3/2 . "

Solve each problem. See Examples 1 and 2.Flying Distance The bearing from A to C is N 64° W. The bearing from A to B is S 82° W. The bearing from B to C is N 26° E. A plane flying at 350 mph takes 1.8 hr to go from A to B. Find the distance from B to C.

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. SeeExample 2. 84°

Solve each problem. See Examples 1 and 2.Distance between Two Cities The bearing from Atlanta to Macon is S 27° E, and the bearing from Macon to Augusta is N 63° E. An automobile traveling at 62 mph needs 1¼ hr to go from Atlanta to Macon and 1¾ hr to go from Macon to Augusta. Find the distance from Atlanta to Augusta.

Solve each problem. See Examples 3 and 4.Height of an Antenna A scanner antenna is on top of the center of a house. The angle of elevation from a point 28.0 m from the center of the house to the top of the antenna is 27°10', and the angle of elevation to the bottom of the antenna is 18°10'. Find the height of the antenna.

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. SeeExample 2. ―15°

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. SeeExample 2. ―345°

Solve each problem. See Examples 3 and 4.Distance through a Tunnel A tunnel is to be built from point A to point B. Both A and B are visible from C. If AC is 1.4923 mi and BC is 1.0837 mi, and if C is 90°, find the measures of angles A and B.