Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 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.

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 2.

178°

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 2.

―15°

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 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.