579 5.4 Solutions and Applications of Right Triangles 66. Distance Traveled by a Ship A ship travels 55 km on a bearing of 27° and then travels on a bearing of 117° for 140 km. Find the distance from the starting point to the ending point. 1178 x 278 N 55 km 140 km N 67. Distance between Two Ships Two ships leave a port at the same time. The first ship sails on a bearing of 40° at 18 knots (nautical miles per hour) and the second on a bearing of 130° at 26 knots. How far apart are they after 1.5 hr? 68. Distance between Two Ships Two ships leave a port at the same time. The first ship sails on a bearing of 52° at 17 knots and the second on a bearing of 322° at 22 knots. How far apart are they after 2.5 hr? 69. Distance to a Coral Reef Two docks are located on an east-west line 2587 ft apart. From dock A, the bearing of a coral reef is 58° 22′. From dock B, the bearing of the coral reef is 328° 22′. Find the distance from dock A to the coral reef. 70. Distance between Two Lighthouses Two lighthouses are located on a north-south line. From lighthouse A, the bearing of a ship 3742 m away is 129° 43′. From lighthouse B, the bearing of the ship is 39° 43′. Find the distance between the lighthouses. 71. Distance between Two Ships A ship leaves its home port and sails on a bearing of S61°50′ E. Another ship leaves the same port at the same time and sails on a bearing of N 28°10′ E. If the first ship sails at 24.0 mph and the second ship sails at 28.0 mph, find the distance between the two ships after 4 hr. x S W N E 288 109 618 509 72. Distance to a Transmitter Radio direction finders are set up at two points A and B, which are 2.50 mi apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N36°20′ E, and from B the bearing of the same signal is N 53°40′ W. Find the distance of the transmitter from B. B A 368 209 N N 538 409 2.50 mi Transmitter 73. Flying Distance The bearing from A to C is S52° E. The bearing from A to B is N84° E. The bearing from B to C is S 38° W. A plane flying at 250 mph takes 2.4 hr to go from A to B. Find the distance from A to C.
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