Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to two decimal places. A = 240 30', c = 409.5 B = O C= o a = b = B C a C b AA ship leaves port at noon and has a bearing of S 26 W. The ship sails at 15 knots. (a) How many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 P.M.? (Round your answers to two decimal places.) miles south miles west (b) At 6:00 P.M., the ship changes course to due west. Find the ship's bearing and distance from port at 7:00 PM. (Round your answers to one decimal place.) 5 W nautical miles A surveyor wants to find the distance across a pond (see figure). The bearing from A to B is N 380 W. The surveyor walks x = 60 meters from A to C, and at the point C the bearing to B is N 69 W. N E S C A (a) Find the bearing from A to C. N |52 V E (b) Find the distance from A to B. (Round your answer to two decimal places.) mFire towerA is x = 31 kilometers due west of re tower B. A re is spotted from the towers, and the bearings from A and B are 0 = N 78 E and q) = N 60 W, respectively (see gure). Find the distance d of the re from the line segment AB. (Round your answer to two decimal places.)